460346536502976 has 224 divisors, whose sum is σ = 1292582614118400. Its totient is φ = 144185818383360.

The previous prime is 460346536502917. The next prime is 460346536503023. The reversal of 460346536502976 is 679205635643064.

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, 897695221 + ... + 898207883.

Almost surely, 2^{460346536502976} 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 460346536502976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646291307059200).

460346536502976 is an abundant number, since it is smaller than the sum of its proper divisors (832236077615424).

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

460346536502976 is a wasteful number, since it uses less digits than its factorization.

460346536502976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514707 (or 514697 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 66.

The spelling of 460346536502976 in words is "four hundred sixty trillion, three hundred forty-six billion, five hundred thirty-six million, five hundred two thousand, nine hundred seventy-six".