461135461302432 has 144 divisors (see below), whose sum is σ = 1499140193084352. Its totient is φ = 131713433441280.

The previous prime is 461135461302421. The next prime is 461135461302469. The reversal of 461135461302432 is 234203164531164.

461135461302432 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 3 + 5 + 4 + 613 + 0 + 24 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×461135461302432² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27619413 + ... + 41050004.

It is an arithmetic number, because the mean of its divisors is an integer number (10410695785308).

Almost surely, 2^{461135461302432} is an apocalyptic number.

461135461302432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

461135461302432 is an abundant number, since it is smaller than the sum of its proper divisors (1038004731781920).

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

461135461302432 is a wasteful number, since it uses less digits than its factorization.

461135461302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68672771 (or 68672760 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 461135461302432 in words is "four hundred sixty-one trillion, one hundred thirty-five billion, four hundred sixty-one million, three hundred two thousand, four hundred thirty-two".