18956620631040 has 352 divisors, whose sum is σ = 62004096650496. Its totient is φ = 4941684080640.

The previous prime is 18956620630919. The next prime is 18956620631051. The reversal of 18956620631040 is 4013602665981.

It is a super-2 number, since 2×18956620631040² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152662419 + ... + 152786541.

It is an arithmetic number, because the mean of its divisors is an integer number (176148001848).

Almost surely, 2^{18956620631040} is an apocalyptic number.

18956620631040 is a gapful number since it is divisible by the number (10) 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 18956620631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31002048325248).

18956620631040 is an abundant number, since it is smaller than the sum of its proper divisors (43047476019456).

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

18956620631040 is a wasteful number, since it uses less digits than its factorization.

18956620631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124375 (or 124357 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 18956620631040 in words is "eighteen trillion, nine hundred fifty-six billion, six hundred twenty million, six hundred thirty-one thousand, forty".