461172464736 has 192 divisors, whose sum is σ = 1286223986880. Its totient is φ = 144424304640.

The previous prime is 461172464671. The next prime is 461172464761. The reversal of 461172464736 is 637464271164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45310080 + ... + 45320256.

It is an arithmetic number, because the mean of its divisors is an integer number (6699083265).

Almost surely, 2^461172464736 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 461172464736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643111993440).

461172464736 is an abundant number, since it is smaller than the sum of its proper divisors (825051522144).

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

461172464736 is a wasteful number, since it uses less digits than its factorization.

461172464736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10657 (or 10649 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The spelling of 461172464736 in words is "four hundred sixty-one billion, one hundred seventy-two million, four hundred sixty-four thousand, seven hundred thirty-six".