252401649696 has 384 divisors, whose sum is σ = 870490575360. Its totient is φ = 69645090816.

The previous prime is 252401649691. The next prime is 252401649713. The reversal of 252401649696 is 696946104252.

252401649696 is a `hidden beast` number, since 2 + 5 + 2 + 401 + 64 + 96 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (252401649691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30653196 + ... + 30661428.

It is an arithmetic number, because the mean of its divisors is an integer number (2266902540).

Almost surely, 2^252401649696 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 252401649696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435245287680).

252401649696 is an abundant number, since it is smaller than the sum of its proper divisors (618088925664).

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

252401649696 is a wasteful number, since it uses less digits than its factorization.

252401649696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8433 (or 8419 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 252401649696 in words is "two hundred fifty-two billion, four hundred one million, six hundred forty-nine thousand, six hundred ninety-six".