498611552256 has 224 divisors, whose sum is σ = 1495199505870. Its totient is φ = 166195888128.

The previous prime is 498611552237. The next prime is 498611552291. The reversal of 498611552256 is 652255116894.

498611552256 is a `hidden beast` number, since 4 + 9 + 8 + 61 + 1 + 5 + 522 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 454168166400 + 44443385856 = 673920^2 + 210816^2 .

It is a super-2 number, since 2×498611552256² (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 (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23877436 + ... + 23898308.

Almost surely, 2^498611552256 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 498611552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747599752935).

498611552256 is an abundant number, since it is smaller than the sum of its proper divisors (996587953614).

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

498611552256 is an frugal number, since it uses more digits than its factorization.

498611552256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20921 (or 20878 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 498611552256 in words is "four hundred ninety-eight billion, six hundred eleven million, five hundred fifty-two thousand, two hundred fifty-six".