1413181111104 has 672 divisors, whose sum is σ = 5091322629120. Its totient is φ = 379646963712.

The previous prime is 1413181111099. The next prime is 1413181111109. The reversal of 1413181111104 is 4011111813141.

It is an interprime number because it is at equal distance from previous prime (1413181111099) and next prime (1413181111109).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1413181111104² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413181111109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283370499 + ... + 283375485.

It is an arithmetic number, because the mean of its divisors is an integer number (7576372960).

Almost surely, 2^{1413181111104} is an apocalyptic number.

1413181111104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413181111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545661314560).

1413181111104 is an abundant number, since it is smaller than the sum of its proper divisors (3678141518016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1413181111104 is a wasteful number, since it uses less digits than its factorization.

1413181111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 27.

Adding to 1413181111104 its reverse (4011111813141), we get a palindrome (5424292924245).

The spelling of 1413181111104 in words is "one trillion, four hundred thirteen billion, one hundred eighty-one million, one hundred eleven thousand, one hundred four".