460055066112 has 120 divisors (see below), whose sum is σ = 1337443511976. Its totient is φ = 152232124416.

The previous prime is 460055066083. The next prime is 460055066131. The reversal of 460055066112 is 211660550064.

460055066112 is a `hidden beast` number, since 46 + 0 + 0 + 550 + 6 + 61 + 1 + 2 = 666.

It is a super-3 number, since 3×460055066112³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 266923 + ... + 995669.

Almost surely, 2^460055066112 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 460055066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668721755988).

460055066112 is an abundant number, since it is smaller than the sum of its proper divisors (877388445864).

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

460055066112 is a wasteful number, since it uses less digits than its factorization.

460055066112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728908 (or 728889 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 460055066112 in words is "four hundred sixty billion, fifty-five million, sixty-six thousand, one hundred twelve".