464447484744464 has 160 divisors (see below), whose sum is σ = 993855368039520. Its totient is φ = 208963969744896.

The previous prime is 464447484744379. The next prime is 464447484744493.

464447484744464 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 23350543417600 + 441096941326864 = 4832240^2 + 21002308^2 .

It is a super-2 number, since 2×464447484744464² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464447484744391 and 464447484744400.

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, 475880144 + ... + 476855120.

It is an arithmetic number, because the mean of its divisors is an integer number (6211596050247).

Almost surely, 2^{464447484744464} 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 464447484744464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496927684019760).

464447484744464 is an abundant number, since it is smaller than the sum of its proper divisors (529407883295056).

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

464447484744464 is a wasteful number, since it uses less digits than its factorization.

464447484744464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975437 (or 975431 counting only the distinct ones).

The product of its digits is 14797504512, while the sum is 74.

The spelling of 464447484744464 in words is "four hundred sixty-four trillion, four hundred forty-seven billion, four hundred eighty-four million, seven hundred forty-four thousand, four hundred sixty-four".