461899182671136 has 576 divisors, whose sum is σ = 1590942448368000. Its totient is φ = 129969266853888.

The previous prime is 461899182671071. The next prime is 461899182671183. The reversal of 461899182671136 is 631176281998164.

461899182671136 is a `hidden beast` number, since 46 + 189 + 9 + 18 + 267 + 1 + 136 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12903275190 + ... + 12903310986.

It is an arithmetic number, because the mean of its divisors is an integer number (2762052861750).

Almost surely, 2^{461899182671136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461899182671136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795471224184000).

461899182671136 is an abundant number, since it is smaller than the sum of its proper divisors (1129043265696864).

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

461899182671136 is a wasteful number, since it uses less digits than its factorization.

461899182671136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40446 (or 40425 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The spelling of 461899182671136 in words is "four hundred sixty-one trillion, eight hundred ninety-nine billion, one hundred eighty-two million, six hundred seventy-one thousand, one hundred thirty-six".