252646604496 has 320 divisors, whose sum is σ = 875004829440. Its totient is φ = 68759746560.

The previous prime is 252646604449. The next prime is 252646604519. The reversal of 252646604496 is 694406646252.

252646604496 is a `hidden beast` number, since 2 + 5 + 26 + 4 + 6 + 604 + 4 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2230446 + ... + 2340978.

It is an arithmetic number, because the mean of its divisors is an integer number (2734390092).

Almost surely, 2^252646604496 is an apocalyptic number.

252646604496 is a gapful number since it is divisible by the number (26) 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 252646604496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437502414720).

252646604496 is an abundant number, since it is smaller than the sum of its proper divisors (622358224944).

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

252646604496 is a wasteful number, since it uses less digits than its factorization.

252646604496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110611 (or 110599 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 252646604496 in words is "two hundred fifty-two billion, six hundred forty-six million, six hundred four thousand, four hundred ninety-six".