18631099872 has 432 divisors, whose sum is σ = 69500788560. Its totient is φ = 4837916160.

The previous prime is 18631099871. The next prime is 18631099891. The reversal of 18631099872 is 27899013681.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18631099871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5120838 + ... + 5124474.

It is an arithmetic number, because the mean of its divisors is an integer number (160881455).

Almost surely, 2^18631099872 is an apocalyptic number.

18631099872 is a gapful number since it is divisible by the number (12) 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 18631099872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34750394280).

18631099872 is an abundant number, since it is smaller than the sum of its proper divisors (50869688688).

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

18631099872 is a wasteful number, since it uses less digits than its factorization.

18631099872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 18631099872 in words is "eighteen billion, six hundred thirty-one million, ninety-nine thousand, eight hundred seventy-two".