490164994492992 has 896 divisors, whose sum is σ = 1880475977318400. Its totient is φ = 121500217147392.

The previous prime is 490164994492949. The next prime is 490164994492997. The reversal of 490164994492992 is 299294499461094.

490164994492992 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 64 + 9 + 9 + 449 + 29 + 92 = 666.

It is a super-2 number, since 2×490164994492992² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (490164994492997) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1921914793 + ... + 1922169815.

It is an arithmetic number, because the mean of its divisors is an integer number (2098745510400).

Almost surely, 2^{490164994492992} is an apocalyptic number.

490164994492992 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 490164994492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940237988659200).

490164994492992 is an abundant number, since it is smaller than the sum of its proper divisors (1390310982825408).

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

490164994492992 is a wasteful number, since it uses less digits than its factorization.

490164994492992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255800 (or 255784 counting only the distinct ones).

The product of its (nonzero) digits is 3265173504, while the sum is 81.

The spelling of 490164994492992 in words is "four hundred ninety trillion, one hundred sixty-four billion, nine hundred ninety-four million, four hundred ninety-two thousand, nine hundred ninety-two".