46244066044264 has 128 divisors (see below), whose sum is σ = 103115277619200. Its totient is φ = 19208555136000.

The previous prime is 46244066044201. The next prime is 46244066044271.

46244066044264 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14459344 + ... + 17365504.

It is an arithmetic number, because the mean of its divisors is an integer number (805588106400).

Almost surely, 2^{46244066044264} is an apocalyptic number.

46244066044264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46244066044264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51557638809600).

46244066044264 is an abundant number, since it is smaller than the sum of its proper divisors (56871211574936).

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

46244066044264 is a wasteful number, since it uses less digits than its factorization.

46244066044264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906535 (or 2906531 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 52.

The spelling of 46244066044264 in words is "forty-six trillion, two hundred forty-four billion, sixty-six million, forty-four thousand, two hundred sixty-four".