90617553252864 has 1200 divisors, whose sum is σ = 325644182047800. Its totient is φ = 24952704860160.

The previous prime is 90617553252829. The next prime is 90617553252923. The reversal of 90617553252864 is 46825235571609.

90617553252864 is a `hidden beast` number, since 9 + 0 + 6 + 1 + 75 + 5 + 32 + 528 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90476622086400 + 140931166464 = 9511920^2 + 375408^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2473910902 + ... + 2473947530.

It is a 1-persistent number, because it is pandigital, but 2⋅90617553252864 = 181235106505728 is not.

Almost surely, 2^{90617553252864} 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 90617553252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162822091023900).

90617553252864 is an abundant number, since it is smaller than the sum of its proper divisors (235026628794936).

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

90617553252864 is a wasteful number, since it uses less digits than its factorization.

90617553252864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36727 (or 36691 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 90617553252864 in words is "ninety trillion, six hundred seventeen billion, five hundred fifty-three million, two hundred fifty-two thousand, eight hundred sixty-four".