92144304844992 has 672 divisors, whose sum is σ = 291645528894720. Its totient is φ = 28745351331840.

The previous prime is 92144304844957. The next prime is 92144304845041. The reversal of 92144304844992 is 29944840344129.

92144304844992 is a `hidden beast` number, since 9 + 2 + 144 + 3 + 0 + 48 + 449 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42287426559 + ... + 42287428737.

It is an arithmetic number, because the mean of its divisors is an integer number (433996322760).

Almost surely, 2^{92144304844992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92144304844992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145822764447360).

92144304844992 is an abundant number, since it is smaller than the sum of its proper divisors (199501224049728).

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

92144304844992 is a wasteful number, since it uses less digits than its factorization.

92144304844992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 92144304844992 in words is "ninety-two trillion, one hundred forty-four billion, three hundred four million, eight hundred forty-four thousand, nine hundred ninety-two".