890738862336 has 432 divisors, whose sum is σ = 2744653766400. Its totient is φ = 277335539712.

The previous prime is 890738862281. The next prime is 890738862341. The reversal of 890738862336 is 633268837098.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 279489735 + ... + 279492921.

It is an arithmetic number, because the mean of its divisors is an integer number (6353365200).

Almost surely, 2^890738862336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890738862336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372326883200).

890738862336 is an abundant number, since it is smaller than the sum of its proper divisors (1853914904064).

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

890738862336 is a wasteful number, since it uses less digits than its factorization.

890738862336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 890738862336 in words is "eight hundred ninety billion, seven hundred thirty-eight million, eight hundred sixty-two thousand, three hundred thirty-six".