464233202332464 has 20 divisors (see below), whose sum is σ = 1199269106025656. Its totient is φ = 154744400777472.

The previous prime is 464233202332463. The next prime is 464233202332483.

It is a happy number.

464233202332464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464233202332464² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 9671525048593 = 464233202332464 / (4 + 6 + 4 + 2 + 3 + 3 + 2 + 0 + 2 + 3 + 3 + 2 + 4 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (464233202332463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4835762524249 + ... + 4835762524344.

Almost surely, 2^{464233202332464} is an apocalyptic number.

It is an amenable number.

464233202332464 is an abundant number, since it is smaller than the sum of its proper divisors (735035903693192).

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

464233202332464 is a wasteful number, since it uses less digits than its factorization.

464233202332464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9671525048604 (or 9671525048598 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 48.

It can be divided in two parts, 46423320 and 2332464, that added together give a palindrome (48755784).

The spelling of 464233202332464 in words is "four hundred sixty-four trillion, two hundred thirty-three billion, two hundred two million, three hundred thirty-two thousand, four hundred sixty-four".