461261171456 has 72 divisors (see below), whose sum is σ = 928821594624. Its totient is φ = 228604723200.

The previous prime is 461261171453. The next prime is 461261171509. The reversal of 461261171456 is 654171162164.

It is a super-2 number, since 2×461261171456² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (461261171453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39041006 + ... + 39052818.

Almost surely, 2^461261171456 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 461261171456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464410797312).

461261171456 is an abundant number, since it is smaller than the sum of its proper divisors (467560423168).

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

461261171456 is a wasteful number, since it uses less digits than its factorization.

461261171456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13157 (or 13143 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The spelling of 461261171456 in words is "four hundred sixty-one billion, two hundred sixty-one million, one hundred seventy-one thousand, four hundred fifty-six".