464651156464 has 80 divisors (see below), whose sum is σ = 1010047674240. Its totient is φ = 205245492480.

The previous prime is 464651156461. The next prime is 464651156467.

464651156464 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (464651156461) and next prime (464651156467).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464651156461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1335067 + ... + 1646725.

It is an arithmetic number, because the mean of its divisors is an integer number (12625595928).

Almost surely, 2^464651156464 is an apocalyptic number.

464651156464 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 464651156464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505023837120).

464651156464 is an abundant number, since it is smaller than the sum of its proper divisors (545396517776).

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

464651156464 is a wasteful number, since it uses less digits than its factorization.

464651156464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311918 (or 311912 counting only the distinct ones).

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

The spelling of 464651156464 in words is "four hundred sixty-four billion, six hundred fifty-one million, one hundred fifty-six thousand, four hundred sixty-four".