92493840384000 has 2016 divisors, whose sum is σ = 380466366904260. Its totient is φ = 22422749184000.

The previous prime is 92493840383983. The next prime is 92493840384013. The reversal of 92493840384000 is 48304839429.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

92493840384000 is a `hidden beast` number, since 9 + 2 + 493 + 84 + 0 + 38 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62525836099584 + 29968004284416 = 7907328^2 + 5474304^2 .

It is a super-2 number, since 2×92493840384000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8408530943995 + ... + 8408530944005.

Almost surely, 2^{92493840384000} is an apocalyptic number.

92493840384000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92493840384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190233183452130).

92493840384000 is an abundant number, since it is smaller than the sum of its proper divisors (287972526520260).

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

92493840384000 is an frugal number, since it uses more digits than its factorization.

92493840384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 92493840384000 in words is "ninety-two trillion, four hundred ninety-three billion, eight hundred forty million, three hundred eighty-four thousand".