90756984009316 has 81 divisors (see below), whose sum is σ = 168395282073291. Its totient is φ = 42795827800704.

The previous prime is 90756984009311. The next prime is 90756984009371. The reversal of 90756984009316 is 61390048965709.

The square root of 90756984009316 is 9526646.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23306243143716 + 67450740865600 = 4827654^2 + 8212840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90756984009311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31990475850 + ... + 31990478686.

Almost surely, 2^{90756984009316} is an apocalyptic number.

90756984009316 is the 9526646-th square number.

It is an amenable number.

90756984009316 is a deficient number, since it is larger than the sum of its proper divisors (77638298063975).

90756984009316 is an frugal number, since it uses more digits than its factorization.

90756984009316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 67.

The spelling of 90756984009316 in words is "ninety trillion, seven hundred fifty-six billion, nine hundred eighty-four million, nine thousand, three hundred sixteen".