99513749764 has 81 divisors (see below), whose sum is σ = 207465416949. Its totient is φ = 41716165920.

The previous prime is 99513749761. The next prime is 99513749771. The reversal of 99513749764 is 46794731599.

The square root of 99513749764 is 315458.

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

99513749764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14720968900 + 84792780864 = 121330^2 + 291192^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99513749696 and 99513749705.

It is not an unprimeable number, because it can be changed into a prime (99513749761) 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, 90220437 + ... + 90221539.

Almost surely, 2^99513749764 is an apocalyptic number.

99513749764 is the 315458-th square number.

It is an amenable number.

99513749764 is an abundant number, since it is smaller than the sum of its proper divisors (107951667185).

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

99513749764 is a wasteful number, since it uses less digits than its factorization.

99513749764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 1129 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 64.

Multiplying 99513749764 by its sum of digits (64), we get a square (6368879984896 = 2523664²).

The spelling of 99513749764 in words is "ninety-nine billion, five hundred thirteen million, seven hundred forty-nine thousand, seven hundred sixty-four".