461155368960 has 1280 divisors, whose sum is σ = 1950334182720. Its totient is φ = 103195607040.

The previous prime is 461155368943. The next prime is 461155368979. The reversal of 461155368960 is 69863551164.

461155368960 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 553 + 6 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 461155368897 and 461155368906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35473489914 + ... + 35473489926.

Almost surely, 2^461155368960 is an apocalyptic number.

461155368960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461155368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975167091360).

461155368960 is an abundant number, since it is smaller than the sum of its proper divisors (1489178813760).

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

461155368960 is an frugal number, since it uses more digits than its factorization.

461155368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 461155368960 in words is "four hundred sixty-one billion, one hundred fifty-five million, three hundred sixty-eight thousand, nine hundred sixty".