315445256100450 has 96 divisors (see below), whose sum is σ = 993402203368320. Its totient is φ = 72101772820800.

The previous prime is 315445256100449. The next prime is 315445256100463. The reversal of 315445256100450 is 54001652544513.

315445256100450 is a `hidden beast` number, since 3 + 1 + 5 + 4 + 4 + 5 + 25 + 610 + 0 + 4 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 315445256100396 and 315445256100405.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16690215741 + ... + 16690234640.

It is an arithmetic number, because the mean of its divisors is an integer number (10347939618420).

Almost surely, 2^{315445256100450} is an apocalyptic number.

315445256100450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

315445256100450 is an abundant number, since it is smaller than the sum of its proper divisors (677956947267870).

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

315445256100450 is a wasteful number, since it uses less digits than its factorization.

315445256100450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33380450409 (or 33380450398 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 315445256100450 in words is "three hundred fifteen trillion, four hundred forty-five billion, two hundred fifty-six million, one hundred thousand, four hundred fifty".