464847748464 has 80 divisors (see below), whose sum is σ = 1310259709440. Its totient is φ = 140837767680.

The previous prime is 464847748459. The next prime is 464847748513.

464847748464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 464847748395 and 464847748404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2990292 + ... + 3141900.

It is an arithmetic number, because the mean of its divisors is an integer number (16378246368).

Almost surely, 2^464847748464 is an apocalyptic number.

464847748464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464847748464 is an abundant number, since it is smaller than the sum of its proper divisors (845411960976).

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

464847748464 is a wasteful number, since it uses less digits than its factorization.

464847748464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157438 (or 157432 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 66.

The spelling of 464847748464 in words is "four hundred sixty-four billion, eight hundred forty-seven million, seven hundred forty-eight thousand, four hundred sixty-four".