890937523968 has 288 divisors, whose sum is σ = 2504508948480. Its totient is φ = 280801935360.

The previous prime is 890937523961. The next prime is 890937523979. The reversal of 890937523968 is 869325739098.

It is a super-3 number, since 3×890937523968³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890937523961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189437905 + ... + 189442607.

Almost surely, 2^890937523968 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 890937523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252254474240).

890937523968 is an abundant number, since it is smaller than the sum of its proper divisors (1613571424512).

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

890937523968 is a wasteful number, since it uses less digits than its factorization.

890937523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 69.

The spelling of 890937523968 in words is "eight hundred ninety billion, nine hundred thirty-seven million, five hundred twenty-three thousand, nine hundred sixty-eight".