90904662016 has 117 divisors (see below), whose sum is σ = 211781343861. Its totient is φ = 38901252096.

The previous prime is 90904662011. The next prime is 90904662031. The reversal of 90904662016 is 61026640909.

It is a happy number.

The square root of 90904662016 is 301504.

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

It can be written as a sum of positive squares in only one way, i.e., 29749350400 + 61155311616 = 172480^2 + 247296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90904662011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 135073456 + ... + 135074128.

Almost surely, 2^90904662016 is an apocalyptic number.

90904662016 is the 301504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90904662016

90904662016 is an abundant number, since it is smaller than the sum of its proper divisors (120876681845).

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

90904662016 is an frugal number, since it uses more digits than its factorization.

90904662016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 90904662016 in words is "ninety billion, nine hundred four million, six hundred sixty-two thousand, sixteen".