461643464401560 has 192 divisors, whose sum is σ = 1714688952238080. Its totient is φ = 105517692161280.

The previous prime is 461643464401519. The next prime is 461643464401577. The reversal of 461643464401560 is 65104464346164.

461643464401560 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 4 + 3 + 46 + 440 + 156 + 0 = 666.

It is a super-2 number, since 2×461643464401560² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 461643464401497 and 461643464401506.

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, 363210765 + ... + 364479555.

It is an arithmetic number, because the mean of its divisors is an integer number (8930671626240).

Almost surely, 2^{461643464401560} is an apocalyptic number.

461643464401560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461643464401560 is an abundant number, since it is smaller than the sum of its proper divisors (1253045487836520).

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

461643464401560 is a wasteful number, since it uses less digits than its factorization.

461643464401560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413198 (or 1413191 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 461643464401560 in words is "four hundred sixty-one trillion, six hundred forty-three billion, four hundred sixty-four million, four hundred one thousand, five hundred sixty".