90601949088 has 96 divisors (see below), whose sum is σ = 302006517120. Its totient is φ = 25886269440.

The previous prime is 90601949069. The next prime is 90601949093. The reversal of 90601949088 is 88094910609.

90601949088 is a `hidden beast` number, since 9 + 0 + 60 + 19 + 490 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7484193 + ... + 7496288.

It is an arithmetic number, because the mean of its divisors is an integer number (3145901220).

Almost surely, 2^90601949088 is an apocalyptic number.

It is an amenable number.

90601949088 is an abundant number, since it is smaller than the sum of its proper divisors (211404568032).

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

90601949088 is a wasteful number, since it uses less digits than its factorization.

90601949088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14980507 (or 14980493 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 90601949088 in words is "ninety billion, six hundred one million, nine hundred forty-nine thousand, eighty-eight".