315145327314384 has 960 divisors, whose sum is σ = 1088798664425472. Its totient is φ = 86348638656000.

The previous prime is 315145327314383. The next prime is 315145327314427. The reversal of 315145327314384 is 483413723541513.

315145327314384 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 4 + 532 + 73 + 1 + 4 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 315145327314384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315145327314383) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155473766779 + ... + 155473768805.

Almost surely, 2^{315145327314384} 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 315145327314384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544399332212736).

315145327314384 is an abundant number, since it is smaller than the sum of its proper divisors (773653337111088).

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

315145327314384 is a wasteful number, since it uses less digits than its factorization.

315145327314384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3648 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 315145327314384 in words is "three hundred fifteen trillion, one hundred forty-five billion, three hundred twenty-seven million, three hundred fourteen thousand, three hundred eighty-four".