490488876548352 has 1080 divisors, whose sum is σ = 1657980129225728. Its totient is φ = 144029266698240.

The previous prime is 490488876548303. The next prime is 490488876548383. The reversal of 490488876548352 is 253845678884094.

490488876548352 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 8 + 8 + 87 + 6 + 5 + 483 + 52 = 666.

It is a super-3 number, since 3×490488876548352³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13701936918 + ... + 13701972714.

Almost surely, 2^{490488876548352} 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 490488876548352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828990064612864).

490488876548352 is an abundant number, since it is smaller than the sum of its proper divisors (1167491252677376).

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

490488876548352 is a wasteful number, since it uses less digits than its factorization.

490488876548352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36017 (or 35983 counting only the distinct ones).

The product of its (nonzero) digits is 14863564800, while the sum is 81.

The spelling of 490488876548352 in words is "four hundred ninety trillion, four hundred eighty-eight billion, eight hundred seventy-six million, five hundred forty-eight thousand, three hundred fifty-two".