464423323324464 has 320 divisors, whose sum is σ = 1618635419750400. Its totient is φ = 124654162332672.

The previous prime is 464423323324451. The next prime is 464423323324529.

464423323324464 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 2 + 332 + 3 + 3 + 244 + 64 = 666.

464423323324464 is nontrivially palindromic in base 10.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 464423323324464.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68320552 + ... + 74810055.

It is an arithmetic number, because the mean of its divisors is an integer number (5058235686720).

Almost surely, 2^{464423323324464} is an apocalyptic number.

It is an amenable number.

464423323324464 is an abundant number, since it is smaller than the sum of its proper divisors (1154212096425936).

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

464423323324464 is a wasteful number, since it uses less digits than its factorization.

464423323324464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143130697 (or 143130685 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 54.

The spelling of 464423323324464 in words is "four hundred sixty-four trillion, four hundred twenty-three billion, three hundred twenty-three million, three hundred twenty-four thousand, four hundred sixty-four".