90612516593664 has 336 divisors, whose sum is σ = 282526041837312. Its totient is φ = 27817707700224.

The previous prime is 90612516593617. The next prime is 90612516593671. The reversal of 90612516593664 is 46639561521609.

90612516593664 is a `hidden beast` number, since 9 + 0 + 6 + 1 + 2 + 516 + 59 + 3 + 6 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424492849 + ... + 424706255.

It is an arithmetic number, because the mean of its divisors is an integer number (840851314992).

Almost surely, 2^{90612516593664} 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 90612516593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141263020918656).

90612516593664 is an abundant number, since it is smaller than the sum of its proper divisors (191913525243648).

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

90612516593664 is a wasteful number, since it uses less digits than its factorization.

90612516593664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213895 (or 213868 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 90612516593664 in words is "ninety trillion, six hundred twelve billion, five hundred sixteen million, five hundred ninety-three thousand, six hundred sixty-four".