464414565414464 has 112 divisors (see below), whose sum is σ = 1078962825763200. Its totient is φ = 194171577200640.

The previous prime is 464414565414337. The next prime is 464414565414469.

464414565414464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 464414565414397 and 464414565414406.

It is not an unprimeable number, because it can be changed into a prime (464414565414469) 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, 416378294 + ... + 417492170.

It is an arithmetic number, because the mean of its divisors is an integer number (9633596658600).

Almost surely, 2^{464414565414464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464414565414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539481412881600).

464414565414464 is an abundant number, since it is smaller than the sum of its proper divisors (614548260348736).

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

464414565414464 is a wasteful number, since it uses less digits than its factorization.

464414565414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136636 (or 1136626 counting only the distinct ones).

The product of its digits is 353894400, while the sum is 62.

The spelling of 464414565414464 in words is "four hundred sixty-four trillion, four hundred fourteen billion, five hundred sixty-five million, four hundred fourteen thousand, four hundred sixty-four".