464417153664772 has 96 divisors (see below), whose sum is σ = 1014580952985600. Its totient is φ = 180708361720320.

The previous prime is 464417153664757. The next prime is 464417153664809. The reversal of 464417153664772 is 277466351714464.

It is a junction number, because it is equal to n+sod(n) for n = 464417153664698 and 464417153664707.

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, 3476551893 + ... + 3476685475.

It is an arithmetic number, because the mean of its divisors is an integer number (10568551593600).

Almost surely, 2^{464417153664772} is an apocalyptic number.

It is an amenable number.

464417153664772 is an abundant number, since it is smaller than the sum of its proper divisors (550163799320828).

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

464417153664772 is a wasteful number, since it uses less digits than its factorization.

464417153664772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148081 (or 148079 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 67.

The spelling of 464417153664772 in words is "four hundred sixty-four trillion, four hundred seventeen billion, one hundred fifty-three million, six hundred sixty-four thousand, seven hundred seventy-two".