315800436411072 has 336 divisors, whose sum is σ = 922561695956992. Its totient is φ = 103266613739520.

The previous prime is 315800436411067. The next prime is 315800436411121. The reversal of 315800436411072 is 270114634008513.

315800436411072 is a `hidden beast` number, since 3 + 1 + 580 + 0 + 4 + 3 + 64 + 1 + 1 + 0 + 7 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 7968500697 + ... + 7968540327.

Almost surely, 2^{315800436411072} is an apocalyptic number.

315800436411072 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 315800436411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461280847978496).

315800436411072 is an abundant number, since it is smaller than the sum of its proper divisors (606761259545920).

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

315800436411072 is a wasteful number, since it uses less digits than its factorization.

315800436411072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40996 (or 40983 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 315800436411072 in words is "three hundred fifteen trillion, eight hundred billion, four hundred thirty-six million, four hundred eleven thousand, seventy-two".