18387645052896 has 1440 divisors, whose sum is σ = 67341223901952. Its totient is φ = 4898566471680.

The previous prime is 18387645052879. The next prime is 18387645052897. The reversal of 18387645052896 is 69825054678381.

18387645052896 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 7 + 6 + 4 + 5 + 0 + 528 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18387645052897) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16461633330 + ... + 16461634446.

It is a 1-persistent number, because it is pandigital, but 2⋅18387645052896 = 36775290105792 is not.

Almost surely, 2^{18387645052896} is an apocalyptic number.

18387645052896 is a gapful number since it is divisible by the number (16) 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 18387645052896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33670611950976).

18387645052896 is an abundant number, since it is smaller than the sum of its proper divisors (48953578849056).

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

18387645052896 is a wasteful number, since it uses less digits than its factorization.

18387645052896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 18387645052896 in words is "eighteen trillion, three hundred eighty-seven billion, six hundred forty-five million, fifty-two thousand, eight hundred ninety-six".