463141727172315 has 24 divisors (see below), whose sum is σ = 812451029841360. Its totient is φ = 244032910058304.

The previous prime is 463141727172287. The next prime is 463141727172349. The reversal of 463141727172315 is 513271727141364.

463141727172315 is a `hidden beast` number, since 4 + 6 + 3 + 1 + 417 + 27 + 172 + 31 + 5 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-463141727172315 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62000227480 + ... + 62000234949.

It is an arithmetic number, because the mean of its divisors is an integer number (33852126243390).

Almost surely, 2^{463141727172315} is an apocalyptic number.

463141727172315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

463141727172315 is a deficient number, since it is larger than the sum of its proper divisors (349309302669045).

463141727172315 is a wasteful number, since it uses less digits than its factorization.

463141727172315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124000462523 (or 124000462520 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 463141727172315 in words is "four hundred sixty-three trillion, one hundred forty-one billion, seven hundred twenty-seven million, one hundred seventy-two thousand, three hundred fifteen".