461792464297164 has 432 divisors, whose sum is σ = 1662283277840640. Its totient is φ = 104892129619200.

The previous prime is 461792464297127. The next prime is 461792464297201.

461792464297164 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 92 + 46 + 429 + 71 + 6 + 4 = 666.

461792464297164 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (461792464297127) and next prime (461792464297201).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 461792464297092 and 461792464297101.

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, 23125782 + ... + 38188829.

Almost surely, 2^{461792464297164} is an apocalyptic number.

461792464297164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461792464297164 is an abundant number, since it is smaller than the sum of its proper divisors (1200490813543476).

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

461792464297164 is a wasteful number, since it uses less digits than its factorization.

461792464297164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61314682 (or 61314666 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 461792464297164 in words is "four hundred sixty-one trillion, seven hundred ninety-two billion, four hundred sixty-four million, two hundred ninety-seven thousand, one hundred sixty-four".