464841148464 has 240 divisors, whose sum is σ = 1676104389120. Its totient is φ = 120737865600.

The previous prime is 464841148433. The next prime is 464841148483.

464841148464 is a `hidden beast` number, since 4 + 6 + 484 + 114 + 8 + 46 + 4 = 666.

464841148464 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 464841148464.

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, 269292 + ... + 1001099.

It is an arithmetic number, because the mean of its divisors is an integer number (6983768288).

Almost surely, 2^464841148464 is an apocalyptic number.

464841148464 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 464841148464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838052194560).

464841148464 is an abundant number, since it is smaller than the sum of its proper divisors (1211263240656).

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

464841148464 is a wasteful number, since it uses less digits than its factorization.

464841148464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270437 (or 1270414 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 464841148464 in words is "four hundred sixty-four billion, eight hundred forty-one million, one hundred forty-eight thousand, four hundred sixty-four".