464655171521216 has 112 divisors (see below), whose sum is σ = 1037067759134400. Its totient is φ = 204950345859072.

The previous prime is 464655171521207. The next prime is 464655171521231. The reversal of 464655171521216 is 612125171556464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10850900 + ... + 32358188.

It is an arithmetic number, because the mean of its divisors is an integer number (9259533563700).

Almost surely, 2^{464655171521216} is an apocalyptic number.

464655171521216 is a gapful number since it is divisible by the number (46) 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 464655171521216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518533879567200).

464655171521216 is an abundant number, since it is smaller than the sum of its proper divisors (572412587613184).

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

464655171521216 is a wasteful number, since it uses less digits than its factorization.

464655171521216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21508466 (or 21508456 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 56.

The spelling of 464655171521216 in words is "four hundred sixty-four trillion, six hundred fifty-five billion, one hundred seventy-one million, five hundred twenty-one thousand, two hundred sixteen".