461886141749760 has 2560 divisors, whose sum is σ = 2118020917985280. Its totient is φ = 92799414042624.

The previous prime is 461886141749701. The next prime is 461886141749777. The reversal of 461886141749760 is 67947141688164.

461886141749760 is a `hidden beast` number, since 4 + 6 + 1 + 8 + 8 + 61 + 4 + 17 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 255 ways as a sum of consecutive naturals, for example, 10938149767 + ... + 10938191993.

It is an arithmetic number, because the mean of its divisors is an integer number (827351921088).

Almost surely, 2^{461886141749760} is an apocalyptic number.

461886141749760 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 461886141749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059010458992640).

461886141749760 is an abundant number, since it is smaller than the sum of its proper divisors (1656134776235520).

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

461886141749760 is a wasteful number, since it uses less digits than its factorization.

461886141749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42363 (or 42341 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 461886141749760 in words is "four hundred sixty-one trillion, eight hundred eighty-six billion, one hundred forty-one million, seven hundred forty-nine thousand, seven hundred sixty".