466542245664 has 96 divisors (see below), whose sum is σ = 1484452630080. Its totient is φ = 141376435200.

The previous prime is 466542245657. The next prime is 466542245699.

466542245664 is a `hidden beast` number, since 4 + 6 + 6 + 54 + 2 + 24 + 566 + 4 = 666.

466542245664 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 466542245664.

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, 24535017 + ... + 24554024.

It is an arithmetic number, because the mean of its divisors is an integer number (15463048230).

Almost surely, 2^466542245664 is an apocalyptic number.

466542245664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466542245664 is an abundant number, since it is smaller than the sum of its proper divisors (1017910384416).

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

466542245664 is a wasteful number, since it uses less digits than its factorization.

466542245664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49089071 (or 49089057 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 466542245664 in words is "four hundred sixty-six billion, five hundred forty-two million, two hundred forty-five thousand, six hundred sixty-four".