464644162105011 has 48 divisors (see below), whose sum is σ = 767187582610176. Its totient is φ = 265456972934208.

The previous prime is 464644162104961. The next prime is 464644162105033. The reversal of 464644162105011 is 110501261446464.

464644162105011 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 4 + 4 + 1 + 621 + 0 + 5 + 0 + 11 = 666.

It is not a de Polignac number, because 464644162105011 - 2¹⁴ = 464644162088627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (464644162105061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8174138356 + ... + 8174195198.

It is an arithmetic number, because the mean of its divisors is an integer number (15983074637712).

Almost surely, 2^{464644162105011} is an apocalyptic number.

464644162105011 is a deficient number, since it is larger than the sum of its proper divisors (302543420505165).

464644162105011 is a wasteful number, since it uses less digits than its factorization.

464644162105011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80952 (or 80949 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 464644162105011 in words is "four hundred sixty-four trillion, six hundred forty-four billion, one hundred sixty-two million, one hundred five thousand, eleven".