90015350720164 has 9 divisors (see below), whose sum is σ = 157526896967041. Its totient is φ = 45007665872440.

The previous prime is 90015350720111. The next prime is 90015350720221. The reversal of 90015350720164 is 46102705351009.

The square root of 90015350720164 is 9487642.

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., 13185918462564 + 76829432257600 = 3631242^2 + 8765240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90015350720164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 16603374 + ... + 21347194.

Almost surely, 2^{90015350720164} is an apocalyptic number.

90015350720164 is the 9487642-nd square number.

It is an amenable number.

90015350720164 is a deficient number, since it is larger than the sum of its proper divisors (67511546246877).

90015350720164 is an frugal number, since it uses more digits than its factorization.

90015350720164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9487646 (or 4743823 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 90015350720164 in words is "ninety trillion, fifteen billion, three hundred fifty million, seven hundred twenty thousand, one hundred sixty-four".