90216677076516 has 81 divisors (see below), whose sum is σ = 228414347904379. Its totient is φ = 30023955606000.

The previous prime is 90216677076451. The next prime is 90216677076593. The reversal of 90216677076516 is 61567077661209.

The square root of 90216677076516 is 9498246.

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

90216677076516 is a `hidden beast` number, since 90 + 21 + 6 + 6 + 7 + 7 + 0 + 7 + 6 + 516 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62175517591 + ... + 62175519041.

Almost surely, 2^{90216677076516} is an apocalyptic number.

90216677076516 is the 9498246-th square number.

It is an amenable number.

90216677076516 is an abundant number, since it is smaller than the sum of its proper divisors (138197670827863).

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

90216677076516 is an equidigital number, since it uses as much as digits as its factorization.

90216677076516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 90216677076516 in words is "ninety trillion, two hundred sixteen billion, six hundred seventy-seven million, seventy-six thousand, five hundred sixteen".