495017332992 has 576 divisors, whose sum is σ = 1832339712000. Its totient is φ = 128331620352.

The previous prime is 495017332973. The next prime is 495017333009. The reversal of 495017332992 is 299233710594.

495017332992 is a `hidden beast` number, since 49 + 501 + 7 + 3 + 3 + 2 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×495017332992² (a number of 24 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 63 ways as a sum of consecutive naturals, for example, 37103859 + ... + 37117197.

Almost surely, 2^495017332992 is an apocalyptic number.

495017332992 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 495017332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916169856000).

495017332992 is an abundant number, since it is smaller than the sum of its proper divisors (1337322379008).

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

495017332992 is a wasteful number, since it uses less digits than its factorization.

495017332992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13443 (or 13423 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 495017332992 in words is "four hundred ninety-five billion, seventeen million, three hundred thirty-two thousand, nine hundred ninety-two".