461161938105 has 96 divisors (see below), whose sum is σ = 916412365440. Its totient is φ = 212490915840.

The previous prime is 461161938049. The next prime is 461161938137. The reversal of 461161938105 is 501839161164.

461161938105 is a `hidden beast` number, since 4 + 6 + 11 + 619 + 3 + 8 + 10 + 5 = 666.

It is not a de Polignac number, because 461161938105 - 2³⁸ = 186284031161 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 494761 + ... + 1080329.

It is an arithmetic number, because the mean of its divisors is an integer number (9545962140).

Almost surely, 2^461161938105 is an apocalyptic number.

461161938105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461161938105 is a deficient number, since it is larger than the sum of its proper divisors (455250427335).

461161938105 is a wasteful number, since it uses less digits than its factorization.

461161938105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585671 (or 585668 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 461161938105 in words is "four hundred sixty-one billion, one hundred sixty-one million, nine hundred thirty-eight thousand, one hundred five".