460364262056001 has 12 divisors (see below), whose sum is σ = 687900621463380. Its totient is φ = 296326421553120.

The previous prime is 460364262055979. The next prime is 460364262056191. The reversal of 460364262056001 is 100650262463064.

It is a happy number.

460364262056001 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 64 + 2 + 6 + 20 + 560 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 284655981806001 + 175708280250000 = 16871751^2 + 13255500^2 .

It is not a de Polignac number, because 460364262056001 - 2¹¹ = 460364262053953 is a prime.

It is a super-2 number, since 2×460364262056001² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460364262556001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881923873410 + ... + 881923873931.

It is an arithmetic number, because the mean of its divisors is an integer number (57325051788615).

Almost surely, 2^{460364262056001} is an apocalyptic number.

It is an amenable number.

460364262056001 is a deficient number, since it is larger than the sum of its proper divisors (227536359407379).

460364262056001 is a wasteful number, since it uses less digits than its factorization.

460364262056001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763847747376 (or 1763847747373 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 460364262056001 in words is "four hundred sixty trillion, three hundred sixty-four billion, two hundred sixty-two million, fifty-six thousand, one".