90180649663104 has 1152 divisors, whose sum is σ = 333683848054080. Its totient is φ = 21324942213120.

The previous prime is 90180649663099. The next prime is 90180649663123. The reversal of 90180649663104 is 40136694608109.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2553445254 + ... + 2553480570.

Almost surely, 2^{90180649663104} 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 90180649663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166841924027040).

90180649663104 is an abundant number, since it is smaller than the sum of its proper divisors (243503198390976).

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

90180649663104 is a wasteful number, since it uses less digits than its factorization.

90180649663104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35458 (or 35426 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 90180649663104 in words is "ninety trillion, one hundred eighty billion, six hundred forty-nine million, six hundred sixty-three thousand, one hundred four".