461457656005710 has 288 divisors, whose sum is σ = 1395315075317760. Its totient is φ = 97343206361856.

The previous prime is 461457656005699. The next prime is 461457656005721. The reversal of 461457656005710 is 17500656754164.

It is an interprime number because it is at equal distance from previous prime (461457656005699) and next prime (461457656005721).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1271531739 + ... + 1271894601.

It is an arithmetic number, because the mean of its divisors is an integer number (4844844011520).

Almost surely, 2^{461457656005710} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461457656005710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697657537658880).

461457656005710 is an abundant number, since it is smaller than the sum of its proper divisors (933857419312050).

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

461457656005710 is a wasteful number, since it uses less digits than its factorization.

461457656005710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368032 (or 368012 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 57.

The spelling of 461457656005710 in words is "four hundred sixty-one trillion, four hundred fifty-seven billion, six hundred fifty-six million, five thousand, seven hundred ten".