464521125464 has 64 divisors (see below), whose sum is σ = 961279073280. Its totient is φ = 208681840000.

The previous prime is 464521125449. The next prime is 464521125493.

464521125464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 4957529 + ... + 5050359.

It is an arithmetic number, because the mean of its divisors is an integer number (15019985520).

Almost surely, 2^464521125464 is an apocalyptic number.

464521125464 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 464521125464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480639536640).

464521125464 is an abundant number, since it is smaller than the sum of its proper divisors (496757947816).

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

464521125464 is a wasteful number, since it uses less digits than its factorization.

464521125464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93512 (or 93508 counting only the distinct ones).

The product of its digits is 921600, while the sum is 44.

It can be divided in two parts, 464521 and 125464, that added together give a palindrome (589985).

The spelling of 464521125464 in words is "four hundred sixty-four billion, five hundred twenty-one million, one hundred twenty-five thousand, four hundred sixty-four".