315143880996672 has 1008 divisors, whose sum is σ = 1161007494266880. Its totient is φ = 79967235059712.

The previous prime is 315143880996671. The next prime is 315143880996739. The reversal of 315143880996672 is 276699088341513.

315143880996672 is a `hidden beast` number, since 3 + 1 + 51 + 438 + 80 + 9 + 9 + 6 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 315143880996672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315143880996671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1889460993 + ... + 1889627775.

It is a 1-persistent number, because it is pandigital, but 2⋅315143880996672 = 630287761993344 is not.

Almost surely, 2^{315143880996672} is an apocalyptic number.

315143880996672 is a gapful number since it is divisible by the number (32) 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 315143880996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580503747133440).

315143880996672 is an abundant number, since it is smaller than the sum of its proper divisors (845863613270208).

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

315143880996672 is a wasteful number, since it uses less digits than its factorization.

315143880996672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166940 (or 166914 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 315143880996672 in words is "three hundred fifteen trillion, one hundred forty-three billion, eight hundred eighty million, nine hundred ninety-six thousand, six hundred seventy-two".