4566842404992 has 896 divisors, whose sum is σ = 16082524416000. Its totient is φ = 1290482565120.

The previous prime is 4566842404967. The next prime is 4566842404997. The reversal of 4566842404992 is 2994042486654.

4566842404992 is a `hidden beast` number, since 4 + 5 + 6 + 68 + 42 + 40 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×4566842404992² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4566842404997) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3104582817 + ... + 3104584287.

It is an arithmetic number, because the mean of its divisors is an integer number (17949246000).

Almost surely, 2^{4566842404992} is an apocalyptic number.

4566842404992 is a gapful number since it is divisible by the number (42) 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 4566842404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8041262208000).

4566842404992 is an abundant number, since it is smaller than the sum of its proper divisors (11515682011008).

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

4566842404992 is an frugal number, since it uses more digits than its factorization.

4566842404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 4566842404992 in words is "four trillion, five hundred sixty-six billion, eight hundred forty-two million, four hundred four thousand, nine hundred ninety-two".