18696446960256 has 2048 divisors, whose sum is σ = 67621671936000. Its totient is φ = 5029352570880.

The previous prime is 18696446960179. The next prime is 18696446960309. The reversal of 18696446960256 is 65206964469681.

18696446960256 is a `hidden beast` number, since 1 + 8 + 6 + 9 + 6 + 4 + 4 + 6 + 9 + 602 + 5 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 80242261516 + ... + 80242261748.

It is an arithmetic number, because the mean of its divisors is an integer number (33018394500).

Almost surely, 2^{18696446960256} is an apocalyptic number.

18696446960256 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 18696446960256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33810835968000).

18696446960256 is an abundant number, since it is smaller than the sum of its proper divisors (48925224975744).

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

18696446960256 is a wasteful number, since it uses less digits than its factorization.

18696446960256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 18696446960256 in words is "eighteen trillion, six hundred ninety-six billion, four hundred forty-six million, nine hundred sixty thousand, two hundred fifty-six".