461731503720465 has 144 divisors (see below), whose sum is σ = 918705629028096. Its totient is φ = 213961187531520.

The previous prime is 461731503720449. The next prime is 461731503720493. The reversal of 461731503720465 is 564027305137164.

461731503720465 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 3 + 1 + 503 + 72 + 0 + 4 + 65 = 666.

It is not a de Polignac number, because 461731503720465 - 2⁴ = 461731503720449 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 151655079 + ... + 154669731.

It is an arithmetic number, because the mean of its divisors is an integer number (6379900201584).

Almost surely, 2^{461731503720465} is an apocalyptic number.

461731503720465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461731503720465 is a deficient number, since it is larger than the sum of its proper divisors (456974125307631).

461731503720465 is a wasteful number, since it uses less digits than its factorization.

461731503720465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015932 (or 3015918 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 461731503720465 in words is "four hundred sixty-one trillion, seven hundred thirty-one billion, five hundred three million, seven hundred twenty thousand, four hundred sixty-five".