92516427154116 has 729 divisors, whose sum is σ = 289103074051701. Its totient is φ = 24872174885376.

The previous prime is 92516427154057. The next prime is 92516427154117. The reversal of 92516427154116 is 61145172461529.

The square root of 92516427154116 is 9618546.

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

92516427154116 is a `hidden beast` number, since 9 + 2 + 5 + 1 + 64 + 27 + 1 + 541 + 16 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 62801979552900 + 29714447601216 = 7924770^2 + 5451096^2 .

It is not an unprimeable number, because it can be changed into a prime (92516427154117) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 620915618410 + ... + 620915618558.

Almost surely, 2^{92516427154116} is an apocalyptic number.

92516427154116 is the 9618546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92516427154116

92516427154116 is an abundant number, since it is smaller than the sum of its proper divisors (196586646897585).

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

92516427154116 is a wasteful number, since it uses less digits than its factorization.

92516427154116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 92516427154116 in words is "ninety-two trillion, five hundred sixteen billion, four hundred twenty-seven million, one hundred fifty-four thousand, one hundred sixteen".