316800152064 has 480 divisors, whose sum is σ = 1057621593600. Its totient is φ = 90375782400.

The previous prime is 316800152063. The next prime is 316800152087. The reversal of 316800152064 is 460251008613.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (316800152063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58136412 + ... + 58141860.

It is an arithmetic number, because the mean of its divisors is an integer number (2203378320).

Almost surely, 2^316800152064 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 316800152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528810796800).

316800152064 is an abundant number, since it is smaller than the sum of its proper divisors (740821441536).

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

316800152064 is a wasteful number, since it uses less digits than its factorization.

316800152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 316800 and 152064, that added together give a palindrome (468864).

The spelling of 316800152064 in words is "three hundred sixteen billion, eight hundred million, one hundred fifty-two thousand, sixty-four".