464625526464 has 336 divisors, whose sum is σ = 1512925518720. Its totient is φ = 139712601600.

The previous prime is 464625526459. The next prime is 464625526471.

464625526464 is a `hidden beast` number, since 4 + 6 + 4 + 625 + 5 + 2 + 6 + 4 + 6 + 4 = 666.

464625526464 is nontrivially palindromic in base 10.

464625526464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 464625526464.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27382047 + ... + 27399009.

It is an arithmetic number, because the mean of its divisors is an integer number (4502754520).

Almost surely, 2^464625526464 is an apocalyptic number.

464625526464 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 464625526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756462759360).

464625526464 is an abundant number, since it is smaller than the sum of its proper divisors (1048299992256).

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

464625526464 is a wasteful number, since it uses less digits than its factorization.

464625526464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17137 (or 17110 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 464625526464 in words is "four hundred sixty-four billion, six hundred twenty-five million, five hundred twenty-six thousand, four hundred sixty-four".