93508747264 has 45 divisors (see below), whose sum is σ = 187090100337. Its totient is φ = 46734802944.

The previous prime is 93508747249. The next prime is 93508747363. The reversal of 93508747264 is 46274780539.

The square root of 93508747264 is 305792.

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., 21255307264 + 72253440000 = 145792^2 + 268800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 39140182 + ... + 39142570.

Almost surely, 2^93508747264 is an apocalyptic number.

93508747264 is the 305792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93508747264

93508747264 is an abundant number, since it is smaller than the sum of its proper divisors (93581353073).

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

93508747264 is an frugal number, since it uses more digits than its factorization.

93508747264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 93508747264 in words is "ninety-three billion, five hundred eight million, seven hundred forty-seven thousand, two hundred sixty-four".