90863345664 has 672 divisors, whose sum is σ = 334905217920. Its totient is φ = 23088070656.

The previous prime is 90863345659. The next prime is 90863345711. The reversal of 90863345664 is 46654336809.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×90863345664² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90863345664.

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, 194567959 + ... + 194568425.

It is an arithmetic number, because the mean of its divisors is an integer number (498370860).

Almost surely, 2^90863345664 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 90863345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167452608960).

90863345664 is an abundant number, since it is smaller than the sum of its proper divisors (244041872256).

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

90863345664 is a wasteful number, since it uses less digits than its factorization.

90863345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 90863345664 in words is "ninety billion, eight hundred sixty-three million, three hundred forty-five thousand, six hundred sixty-four".