90508315716 has 729 divisors, whose sum is σ = 314999938071. Its totient is φ = 21834199296.

The previous prime is 90508315699. The next prime is 90508315721. The reversal of 90508315716 is 61751380509.

It is a happy number.

The square root of 90508315716 is 300846.

It is a perfect power (a square), and thus also a powerful number.

90508315716 is a `hidden beast` number, since 90 + 508 + 3 + 1 + 57 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11605752900 + 78902562816 = 107730^2 + 280896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3120976390 + ... + 3120976418.

Almost surely, 2^90508315716 is an apocalyptic number.

90508315716 is the 300846-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90508315716

90508315716 is an abundant number, since it is smaller than the sum of its proper divisors (224491622355).

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

90508315716 is a wasteful number, since it uses less digits than its factorization.

90508315716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 90508315716 in words is "ninety billion, five hundred eight million, three hundred fifteen thousand, seven hundred sixteen".