464644162105020 has 144 divisors (see below), whose sum is σ = 1459873981107360. Its totient is φ = 119480508016128.

The previous prime is 464644162104961. The next prime is 464644162105033. The reversal of 464644162105020 is 20501261446464.

464644162105020 is a `hidden beast` number, since 4 + 6 + 46 + 4 + 41 + 62 + 1 + 0 + 502 + 0 = 666.

It is a super-2 number, since 2×464644162105020² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52443507 + ... + 60659786.

It is an arithmetic number, because the mean of its divisors is an integer number (10138013757690).

Almost surely, 2^{464644162105020} is an apocalyptic number.

It is an amenable number.

464644162105020 is an abundant number, since it is smaller than the sum of its proper divisors (995229819002340).

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

464644162105020 is a wasteful number, since it uses less digits than its factorization.

464644162105020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113104124 (or 113104119 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 464644162105020 in words is "four hundred sixty-four trillion, six hundred forty-four billion, one hundred sixty-two million, one hundred five thousand, twenty".