316054334400644 has 288 divisors, whose sum is σ = 713782322152704. Its totient is φ = 121441254359040.

The previous prime is 316054334400601. The next prime is 316054334400647. The reversal of 316054334400644 is 446004433450613.

It is a super-2 number, since 2×316054334400644² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (316054334400647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25290410204 + ... + 25290422700.

It is an arithmetic number, because the mean of its divisors is an integer number (2478410840808).

Almost surely, 2^{316054334400644} is an apocalyptic number.

316054334400644 is a gapful number since it is divisible by the number (34) 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 316054334400644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356891161076352).

316054334400644 is an abundant number, since it is smaller than the sum of its proper divisors (397727987752060).

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

316054334400644 is a wasteful number, since it uses less digits than its factorization.

316054334400644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13883 (or 13874 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 47.

The spelling of 316054334400644 in words is "three hundred sixteen trillion, fifty-four billion, three hundred thirty-four million, four hundred thousand, six hundred forty-four".