461456744224325 has 12 divisors (see below), whose sum is σ = 572206629915780. Its totient is φ = 369165223071360.

The previous prime is 461456744224319. The next prime is 461456744224351. The reversal of 461456744224325 is 523422447654164.

It can be written as a sum of positive squares in 6 ways, for example, as 3931745676769 + 457524998547556 = 1982863^2 + 21389834^2 .

It is not a de Polignac number, because 461456744224325 - 2¹⁶ = 461456744158789 is a prime.

It is a super-2 number, since 2×461456744224325² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97554521 + ... + 102175329.

It is an arithmetic number, because the mean of its divisors is an integer number (47683885826315).

Almost surely, 2^{461456744224325} is an apocalyptic number.

It is an amenable number.

461456744224325 is a deficient number, since it is larger than the sum of its proper divisors (110749885691455).

461456744224325 is a wasteful number, since it uses less digits than its factorization.

461456744224325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8615416 (or 8615411 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 59.

The spelling of 461456744224325 in words is "four hundred sixty-one trillion, four hundred fifty-six billion, seven hundred forty-four million, two hundred twenty-four thousand, three hundred twenty-five".