464424363424464 has 80 divisors (see below), whose sum is σ = 1263165632731200. Its totient is φ = 146630448073728.

The previous prime is 464424363424447. The next prime is 464424363424507.

It is a happy number.

464424363424464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464424363424464² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 464424363424398 and 464424363424407.

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, 47390709 + ... + 56344724.

It is an arithmetic number, because the mean of its divisors is an integer number (15789570409140).

Almost surely, 2^{464424363424464} is an apocalyptic number.

It is an amenable number.

464424363424464 is an abundant number, since it is smaller than the sum of its proper divisors (798741269306736).

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

464424363424464 is a wasteful number, since it uses less digits than its factorization.

464424363424464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103740372 (or 103740366 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 60.

The spelling of 464424363424464 in words is "four hundred sixty-four trillion, four hundred twenty-four billion, three hundred sixty-three million, four hundred twenty-four thousand, four hundred sixty-four".