92809948299264 has 495 divisors, whose sum is σ = 312785288262083. Its totient is φ = 26517128085504.

The previous prime is 92809948299259. The next prime is 92809948299269. The reversal of 92809948299264 is 46299284990829.

The square root of 92809948299264 is 9633792.

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

92809948299264 is a `hidden beast` number, since 9 + 28 + 0 + 9 + 9 + 48 + 299 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (92809948299259) and next prime (92809948299269).

It is a super-2 number, since 2×92809948299264² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (92809948299269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13258564042749 + ... + 13258564042755.

Almost surely, 2^{92809948299264} is an apocalyptic number.

92809948299264 is the 9633792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92809948299264

92809948299264 is an abundant number, since it is smaller than the sum of its proper divisors (219975339962819).

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

92809948299264 is an frugal number, since it uses more digits than its factorization.

92809948299264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2902376448, while the sum is 81.

The spelling of 92809948299264 in words is "ninety-two trillion, eight hundred nine billion, nine hundred forty-eight million, two hundred ninety-nine thousand, two hundred sixty-four".