464561165464 has 128 divisors (see below), whose sum is σ = 1014884640000. Its totient is φ = 197138810880.

The previous prime is 464561165449. The next prime is 464561165473.

464561165464 is nontrivially palindromic in base 10.

It is a congruent number.

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, 45678972 + ... + 45689140.

It is an arithmetic number, because the mean of its divisors is an integer number (7928786250).

Almost surely, 2^464561165464 is an apocalyptic number.

464561165464 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 464561165464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507442320000).

464561165464 is an abundant number, since it is smaller than the sum of its proper divisors (550323474536).

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

464561165464 is a wasteful number, since it uses less digits than its factorization.

464561165464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10601 (or 10597 counting only the distinct ones).

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

The spelling of 464561165464 in words is "four hundred sixty-four billion, five hundred sixty-one million, one hundred sixty-five thousand, four hundred sixty-four".