466541145664 has 112 divisors (see below), whose sum is σ = 1024057847232. Its totient is φ = 209120000000.

The previous prime is 466541145649. The next prime is 466541145689.

466541145664 is nontrivially palindromic in base 10.

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, 17834034 + ... + 17860174.

It is an arithmetic number, because the mean of its divisors is an integer number (9143373636).

Almost surely, 2^466541145664 is an apocalyptic number.

466541145664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466541145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512028923616).

466541145664 is an abundant number, since it is smaller than the sum of its proper divisors (557516701568).

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

466541145664 is a wasteful number, since it uses less digits than its factorization.

466541145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26516 (or 26506 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

The spelling of 466541145664 in words is "four hundred sixty-six billion, five hundred forty-one million, one hundred forty-five thousand, six hundred sixty-four".