464214412464 has 160 divisors (see below), whose sum is σ = 1344157182720. Its totient is φ = 136812211200.

The previous prime is 464214412433. The next prime is 464214412483.

464214412464 is nontrivially palindromic in base 10.

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

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, 80856634 + ... + 80862374.

It is an arithmetic number, because the mean of its divisors is an integer number (8400982392).

Almost surely, 2^464214412464 is an apocalyptic number.

464214412464 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 464214412464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672078591360).

464214412464 is an abundant number, since it is smaller than the sum of its proper divisors (879942770256).

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

464214412464 is a wasteful number, since it uses less digits than its factorization.

464214412464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9939 (or 9933 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 464214 and 412464, that added together give a palindrome (876678).

The spelling of 464214412464 in words is "four hundred sixty-four billion, two hundred fourteen million, four hundred twelve thousand, four hundred sixty-four".