316738401127200 has 864 divisors, whose sum is σ = 1273902858498816. Its totient is φ = 76307487989760.

The previous prime is 316738401127111. The next prime is 316738401127249. The reversal of 316738401127200 is 2721104837613.

316738401127200 is a `hidden beast` number, since 3 + 1 + 6 + 7 + 38 + 401 + 1 + 2 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117445084 + ... + 120111716.

It is an arithmetic number, because the mean of its divisors is an integer number (1474424604744).

Almost surely, 2^{316738401127200} is an apocalyptic number.

316738401127200 is a gapful number since it is divisible by the number (30) 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 316738401127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636951429249408).

316738401127200 is an abundant number, since it is smaller than the sum of its proper divisors (957164457371616).

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

316738401127200 is a wasteful number, since it uses less digits than its factorization.

316738401127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666728 (or 2666703 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 316738401127200 in words is "three hundred sixteen trillion, seven hundred thirty-eight billion, four hundred one million, one hundred twenty-seven thousand, two hundred".