992542408704 has 900 divisors, whose sum is σ = 3729202308832. Its totient is φ = 257511260160.

The previous prime is 992542408633. The next prime is 992542408747. The reversal of 992542408704 is 407804245299.

It is a happy number.

992542408704 is a `hidden beast` number, since 9 + 92 + 542 + 4 + 0 + 8 + 7 + 0 + 4 = 666.

It is a super-3 number, since 3×992542408704³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1124056647 + ... + 1124057529.

Almost surely, 2^992542408704 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 992542408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864601154416).

992542408704 is an abundant number, since it is smaller than the sum of its proper divisors (2736659900128).

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

992542408704 is an equidigital number, since it uses as much as digits as its factorization.

992542408704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 992542408704 in words is "nine hundred ninety-two billion, five hundred forty-two million, four hundred eight thousand, seven hundred four".