92450051136 has 315 divisors, whose sum is σ = 283651754133. Its totient is φ = 29773163520.

The previous prime is 92450051129. The next prime is 92450051179. The reversal of 92450051136 is 63115005429.

The square root of 92450051136 is 304056.

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

92450051136 is a `hidden beast` number, since 92 + 4 + 50 + 0 + 511 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4454761536 + 87995289600 = 66744^2 + 296640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 92450051136.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 897573261 + ... + 897573363.

Almost surely, 2^92450051136 is an apocalyptic number.

92450051136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

92450051136 is the 304056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92450051136

92450051136 is an abundant number, since it is smaller than the sum of its proper divisors (191201702997).

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

92450051136 is an equidigital number, since it uses as much as digits as its factorization.

92450051136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 92450051136 by its sum of digits (36), we get a square (3328201840896 = 1824336²).

92450051136 divided by its sum of digits (36) gives a square (2568056976 = 50676²).

The spelling of 92450051136 in words is "ninety-two billion, four hundred fifty million, fifty-one thousand, one hundred thirty-six".