1142099634144 has 192 divisors, whose sum is σ = 3521048154624. Its totient is φ = 317355687936.

The previous prime is 1142099634133. The next prime is 1142099634149. The reversal of 1142099634144 is 4414369902411.

It is a super-2 number, since 2×1142099634144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1142099634093 and 1142099634102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142099634149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6647952 + ... + 6817584.

It is an arithmetic number, because the mean of its divisors is an integer number (18338792472).

Almost surely, 2^{1142099634144} is an apocalyptic number.

1142099634144 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 1142099634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760524077312).

1142099634144 is an abundant number, since it is smaller than the sum of its proper divisors (2378948520480).

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

1142099634144 is a wasteful number, since it uses less digits than its factorization.

1142099634144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169929 (or 169921 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 1142099634144 in words is "one trillion, one hundred forty-two billion, ninety-nine million, six hundred thirty-four thousand, one hundred forty-four".