315412287552 has 112 divisors (see below), whose sum is σ = 927477017280. Its totient is φ = 105112111104.

The previous prime is 315412287539. The next prime is 315412287581. The reversal of 315412287552 is 255782214513.

315412287552 is a `hidden beast` number, since 3 + 1 + 5 + 4 + 12 + 2 + 87 + 552 = 666.

It is a super-2 number, since 2×315412287552² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315412287498 and 315412287507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8003448 + ... + 8042760.

Almost surely, 2^315412287552 is an apocalyptic number.

315412287552 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 315412287552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463738508640).

315412287552 is an abundant number, since it is smaller than the sum of its proper divisors (612064729728).

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

315412287552 is a wasteful number, since it uses less digits than its factorization.

315412287552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43977 (or 43961 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 315412287552 in words is "three hundred fifteen billion, four hundred twelve million, two hundred eighty-seven thousand, five hundred fifty-two".