315146508220320 has 192 divisors, whose sum is σ = 1134544994666496. Its totient is φ = 72032372352000.

The previous prime is 315146508220289. The next prime is 315146508220333. The reversal of 315146508220320 is 23022805641513.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226951167 + ... + 228335553.

It is an arithmetic number, because the mean of its divisors is an integer number (5909088513888).

Almost surely, 2^{315146508220320} is an apocalyptic number.

315146508220320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315146508220320 is an abundant number, since it is smaller than the sum of its proper divisors (819398486446176).

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

315146508220320 is a wasteful number, since it uses less digits than its factorization.

315146508220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452163 (or 1452155 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 315146508220320 in words is "three hundred fifteen trillion, one hundred forty-six billion, five hundred eight million, two hundred twenty thousand, three hundred twenty".