46443433434464 has 48 divisors (see below), whose sum is σ = 100572190938576. Its totient is φ = 21110651541760.

The previous prime is 46443433434401. The next prime is 46443433434479.

It is a happy number.

46443433434464 is nontrivially palindromic in base 10.

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, 545170517 + ... + 545255700.

It is an arithmetic number, because the mean of its divisors is an integer number (2095253977887).

Almost surely, 2^{46443433434464} is an apocalyptic number.

46443433434464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46443433434464 is an abundant number, since it is smaller than the sum of its proper divisors (54128757504112).

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

46443433434464 is a wasteful number, since it uses less digits than its factorization.

46443433434464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090426260 (or 1090426230 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 56.

The spelling of 46443433434464 in words is "forty-six trillion, four hundred forty-three billion, four hundred thirty-three million, four hundred thirty-four thousand, four hundred sixty-four".