461759010865152 has 3072 divisors, whose sum is σ = 1805225725900800. Its totient is φ = 101106214502400.

The previous prime is 461759010865079. The next prime is 461759010865211. The reversal of 461759010865152 is 251568010957164.

It is a tau number, because it is divible by the number of its divisors (3072).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1796727668608 + ... + 1796727668864.

It is an arithmetic number, because the mean of its divisors is an integer number (587638582650).

Almost surely, 2^{461759010865152} is an apocalyptic number.

461759010865152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461759010865152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902612862950400).

461759010865152 is an abundant number, since it is smaller than the sum of its proper divisors (1343466715035648).

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

461759010865152 is a wasteful number, since it uses less digits than its factorization.

461759010865152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 60.

The spelling of 461759010865152 in words is "four hundred sixty-one trillion, seven hundred fifty-nine billion, ten million, eight hundred sixty-five thousand, one hundred fifty-two".