464454565454464 has 64 divisors (see below), whose sum is σ = 996460579142280. Its totient is φ = 214362662400000.

The previous prime is 464454565454437. The next prime is 464454565454479.

464454565454464 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 362404323086400 + 102050242368064 = 19036920^2 + 10101992^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 464454565454393 and 464454565454402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463257714 + ... + 464259214.

Almost surely, 2^{464454565454464} is an apocalyptic number.

It is an amenable number.

464454565454464 is an abundant number, since it is smaller than the sum of its proper divisors (532006013687816).

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

464454565454464 is a wasteful number, since it uses less digits than its factorization.

464454565454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280229 (or 1280217 counting only the distinct ones).

The product of its digits is 8847360000, while the sum is 70.

The spelling of 464454565454464 in words is "four hundred sixty-four trillion, four hundred fifty-four billion, five hundred sixty-five million, four hundred fifty-four thousand, four hundred sixty-four".