99251461764 has 243 divisors, whose sum is σ = 316571848047. Its totient is φ = 26130843648.

The previous prime is 99251461753. The next prime is 99251461789. The reversal of 99251461764 is 46716415299.

The square root of 99251461764 is 315042.

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

99251461764 is a `hidden beast` number, since 9 + 9 + 2 + 5 + 14 + 617 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9323447364 + 89928014400 = 96558^2 + 299880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 99251461764.

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 80 ways as a sum of consecutive naturals, for example, 172012644 + ... + 172013220.

Almost surely, 2^99251461764 is an apocalyptic number.

99251461764 is the 315042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99251461764

99251461764 is an abundant number, since it is smaller than the sum of its proper divisors (217320386283).

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

99251461764 is a wasteful number, since it uses less digits than its factorization.

99251461764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 602 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 99251461764 in words is "ninety-nine billion, two hundred fifty-one million, four hundred sixty-one thousand, seven hundred sixty-four".