253623604636416 has 576 divisors, whose sum is σ = 819585477107712. Its totient is φ = 67970583822336.

The previous prime is 253623604636387. The next prime is 253623604636463. The reversal of 253623604636416 is 614636406326352.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 34709672635 + ... + 34709679941.

It is an arithmetic number, because the mean of its divisors is an integer number (1422891453312).

Almost surely, 2^{253623604636416} 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 253623604636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409792738553856).

253623604636416 is an abundant number, since it is smaller than the sum of its proper divisors (565961872471296).

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

253623604636416 is a wasteful number, since it uses less digits than its factorization.

253623604636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584 (or 8570 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 57.

The spelling of 253623604636416 in words is "two hundred fifty-three trillion, six hundred twenty-three billion, six hundred four million, six hundred thirty-six thousand, four hundred sixteen".