460468904113701 has 256 divisors, whose sum is σ = 846101782528000. Its totient is φ = 247031118835200.

The previous prime is 460468904113693. The next prime is 460468904113727. The reversal of 460468904113701 is 107311409864064.

It is a happy number.

460468904113701 is a `hidden beast` number, since 4 + 6 + 0 + 468 + 9 + 0 + 41 + 137 + 0 + 1 = 666.

It is not a de Polignac number, because 460468904113701 - 2³ = 460468904113693 is a prime.

It is a super-3 number, since 3×460468904113701³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460468904118701) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1278236130 + ... + 1278596316.

It is an arithmetic number, because the mean of its divisors is an integer number (3305085088000).

Almost surely, 2^{460468904113701} is an apocalyptic number.

It is an amenable number.

460468904113701 is a deficient number, since it is larger than the sum of its proper divisors (385632878414299).

460468904113701 is a wasteful number, since it uses less digits than its factorization.

460468904113701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360382 (or 360362 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 460468904113701 in words is "four hundred sixty trillion, four hundred sixty-eight billion, nine hundred four million, one hundred thirteen thousand, seven hundred one".