460504611453144 has 64 divisors (see below), whose sum is σ = 1158163421184000. Its totient is φ = 152581297688064.

The previous prime is 460504611453119. The next prime is 460504611453157. The reversal of 460504611453144 is 441354116405064.

It is a super-2 number, since 2×460504611453144² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 460504611453093 and 460504611453102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743571264 + ... + 744190320.

It is an arithmetic number, because the mean of its divisors is an integer number (18096303456000).

Almost surely, 2^{460504611453144} is an apocalyptic number.

It is an amenable number.

460504611453144 is an abundant number, since it is smaller than the sum of its proper divisors (697658809730856).

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

460504611453144 is a wasteful number, since it uses less digits than its factorization.

460504611453144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804832 (or 804828 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 460504611453144 in words is "four hundred sixty trillion, five hundred four billion, six hundred eleven million, four hundred fifty-three thousand, one hundred forty-four".