315583548552 has 320 divisors, whose sum is σ = 931392950400. Its totient is φ = 99728133120.

The previous prime is 315583548461. The next prime is 315583548587. The reversal of 315583548552 is 255845385513.

315583548552 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 83 + 5 + 4 + 8 + 552 = 666.

It is a super-2 number, since 2×315583548552² (a number of 24 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 151503303 + ... + 151505385.

It is an arithmetic number, because the mean of its divisors is an integer number (2910602970).

Almost surely, 2^315583548552 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 315583548552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465696475200).

315583548552 is an abundant number, since it is smaller than the sum of its proper divisors (615809401848).

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

315583548552 is a wasteful number, since it uses less digits than its factorization.

315583548552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2285 counting only the distinct ones).

The product of its digits is 14400000, while the sum is 54.

The spelling of 315583548552 in words is "three hundred fifteen billion, five hundred eighty-three million, five hundred forty-eight thousand, five hundred fifty-two".