464745547464 has 128 divisors (see below), whose sum is σ = 1314635633280. Its totient is φ = 135668736000.

The previous prime is 464745547451. The next prime is 464745547517.

464745547464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464745547464² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464745547398 and 464745547407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751032 + ... + 1222104.

It is an arithmetic number, because the mean of its divisors is an integer number (10270590885).

Almost surely, 2^464745547464 is an apocalyptic number.

464745547464 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 464745547464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657317816640).

464745547464 is an abundant number, since it is smaller than the sum of its proper divisors (849890085816).

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

464745547464 is a wasteful number, since it uses less digits than its factorization.

464745547464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471231 (or 471227 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 60.

The spelling of 464745547464 in words is "four hundred sixty-four billion, seven hundred forty-five million, five hundred forty-seven thousand, four hundred sixty-four".