461434114764 has 288 divisors, whose sum is σ = 1413873377280. Its totient is φ = 124095974400.

The previous prime is 461434114763. The next prime is 461434114787. The reversal of 461434114764 is 467411434164.

461434114764 is a `hidden beast` number, since 46 + 1 + 434 + 114 + 7 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (461434114763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114982822 + ... + 114986834.

It is an arithmetic number, because the mean of its divisors is an integer number (4909282560).

Almost surely, 2^461434114764 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 461434114764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706936688640).

461434114764 is an abundant number, since it is smaller than the sum of its proper divisors (952439262516).

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

461434114764 is a wasteful number, since it uses less digits than its factorization.

461434114764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4456 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 461434114764 in words is "four hundred sixty-one billion, four hundred thirty-four million, one hundred fourteen thousand, seven hundred sixty-four".