461457060120045 has 48 divisors (see below), whose sum is σ = 872575167095424. Its totient is φ = 223736290512000.

The previous prime is 461457060119933. The next prime is 461457060120083. The reversal of 461457060120045 is 540021060754164.

461457060120045 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 570 + 60 + 12 + 0 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 461457060120045 - 2¹⁶ = 461457060054509 is a prime.

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

It is a congruent number.

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, 430640080 + ... + 431710310.

It is an arithmetic number, because the mean of its divisors is an integer number (18178649314488).

Almost surely, 2^{461457060120045} is an apocalyptic number.

461457060120045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461457060120045 is a deficient number, since it is larger than the sum of its proper divisors (411118106975379).

461457060120045 is a wasteful number, since it uses less digits than its factorization.

461457060120045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941314 (or 1941311 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 461457060120045 in words is "four hundred sixty-one trillion, four hundred fifty-seven billion, sixty million, one hundred twenty thousand, forty-five".