253051014616416 has 192 divisors, whose sum is σ = 739937286144000. Its totient is φ = 84136499712000.

The previous prime is 253051014616409. The next prime is 253051014616451. The reversal of 253051014616416 is 614616410150352.

253051014616416 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 5 + 1 + 0 + 14 + 616 + 4 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1787000016 + ... + 1787141616.

It is an arithmetic number, because the mean of its divisors is an integer number (3853840032000).

Almost surely, 2^{253051014616416} 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 253051014616416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369968643072000).

253051014616416 is an abundant number, since it is smaller than the sum of its proper divisors (486886271527584).

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

253051014616416 is a wasteful number, since it uses less digits than its factorization.

253051014616416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146850 (or 146836 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

Adding to 253051014616416 its reverse (614616410150352), we get a palindrome (867667424766768).

The spelling of 253051014616416 in words is "two hundred fifty-three trillion, fifty-one billion, fourteen million, six hundred sixteen thousand, four hundred sixteen".