252648011616 has 576 divisors, whose sum is σ = 900880049664. Its totient is φ = 60326830080.

The previous prime is 252648011527. The next prime is 252648011617. The reversal of 252648011616 is 616110846252.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252648011617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 483074331 + ... + 483074853.

It is an arithmetic number, because the mean of its divisors is an integer number (1564027864).

Almost surely, 2^252648011616 is an apocalyptic number.

252648011616 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 252648011616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450440024832).

252648011616 is an abundant number, since it is smaller than the sum of its proper divisors (648232038048).

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

252648011616 is a wasteful number, since it uses less digits than its factorization.

252648011616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

Adding to 252648011616 its reverse (616110846252), we get a palindrome (868758857868).

The spelling of 252648011616 in words is "two hundred fifty-two billion, six hundred forty-eight million, eleven thousand, six hundred sixteen".