90318606480 has 120 divisors (see below), whose sum is σ = 303415814520. Its totient is φ = 24077352960.

The previous prime is 90318606457. The next prime is 90318606523. The reversal of 90318606480 is 8460681309.

90318606480 is a `hidden beast` number, since 9 + 0 + 31 + 8 + 606 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2657608704 + 87660997776 = 51552^2 + 296076^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 2479600 + ... + 2515760.

It is an arithmetic number, because the mean of its divisors is an integer number (2528465121).

Almost surely, 2^90318606480 is an apocalyptic number.

90318606480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90318606480 is an abundant number, since it is smaller than the sum of its proper divisors (213097208040).

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

90318606480 is a wasteful number, since it uses less digits than its factorization.

90318606480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39649 (or 39640 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 90318606480 in words is "ninety billion, three hundred eighteen million, six hundred six thousand, four hundred eighty".