46442744724464 has 40 divisors (see below), whose sum is σ = 101548007676720. Its totient is φ = 20382395801600.

The previous prime is 46442744724457. The next prime is 46442744724517.

46442744724464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46442744724397 and 46442744724406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4549636817 + ... + 4549647024.

It is an arithmetic number, because the mean of its divisors is an integer number (2538700191918).

Almost surely, 2^{46442744724464} is an apocalyptic number.

46442744724464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46442744724464 is an abundant number, since it is smaller than the sum of its proper divisors (55105262952256).

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

46442744724464 is a wasteful number, since it uses less digits than its factorization.

46442744724464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099283889 (or 9099283883 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 62.

The spelling of 46442744724464 in words is "forty-six trillion, four hundred forty-two billion, seven hundred forty-four million, seven hundred twenty-four thousand, four hundred sixty-four".