18956013484512 has 288 divisors, whose sum is σ = 58628787378336. Its totient is φ = 5312437125120.

The previous prime is 18956013484451. The next prime is 18956013484619. The reversal of 18956013484512 is 21548431065981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19923708 + ... + 20853444.

It is an arithmetic number, because the mean of its divisors is an integer number (203572178397).

Almost surely, 2^{18956013484512} is an apocalyptic number.

18956013484512 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 18956013484512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29314393689168).

18956013484512 is an abundant number, since it is smaller than the sum of its proper divisors (39672773893824).

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

18956013484512 is a wasteful number, since it uses less digits than its factorization.

18956013484512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929842 (or 929803 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 18956013484512 in words is "eighteen trillion, nine hundred fifty-six billion, thirteen million, four hundred eighty-four thousand, five hundred twelve".