315633826872 has 640 divisors, whose sum is σ = 1157076264960. Its totient is φ = 78104632320.

The previous prime is 315633826817. The next prime is 315633826873. The reversal of 315633826872 is 278628336513.

It is a happy number.

315633826872 is a `hidden beast` number, since 3 + 1 + 563 + 3 + 8 + 2 + 6 + 8 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315633826873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71879797 + ... + 71884187.

It is an arithmetic number, because the mean of its divisors is an integer number (1807931664).

Almost surely, 2^315633826872 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 315633826872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578538132480).

315633826872 is an abundant number, since it is smaller than the sum of its proper divisors (841442438088).

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

315633826872 is a wasteful number, since it uses less digits than its factorization.

315633826872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4492 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 315633826872 in words is "three hundred fifteen billion, six hundred thirty-three million, eight hundred twenty-six thousand, eight hundred seventy-two".