460695755712 has 224 divisors, whose sum is σ = 1324985789952. Its totient is φ = 140706349056.

The previous prime is 460695755693. The next prime is 460695755719. The reversal of 460695755712 is 217557596064.

460695755712 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×460695755712³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460695755719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43924933 + ... + 43935419.

Almost surely, 2^460695755712 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 460695755712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662492894976).

460695755712 is an abundant number, since it is smaller than the sum of its proper divisors (864290034240).

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

460695755712 is a wasteful number, since it uses less digits than its factorization.

460695755712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10875 (or 10865 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 57.

The spelling of 460695755712 in words is "four hundred sixty billion, six hundred ninety-five million, seven hundred fifty-five thousand, seven hundred twelve".