46444044044464 has 80 divisors (see below), whose sum is σ = 98249897166624. Its totient is φ = 21092853196800.

The previous prime is 46444044044443. The next prime is 46444044044483.

46444044044464 is nontrivially palindromic in base 10.

46444044044464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46444044044464² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2069595484 + ... + 2069617924.

Almost surely, 2^{46444044044464} is an apocalyptic number.

46444044044464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46444044044464 is an abundant number, since it is smaller than the sum of its proper divisors (51805853122160).

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

46444044044464 is a wasteful number, since it uses less digits than its factorization.

46444044044464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32006 (or 32000 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 52.

It can be divided in two parts, 4644404 and 4044464, that added together give a palindrome (8688868).

The spelling of 46444044044464 in words is "forty-six trillion, four hundred forty-four billion, forty-four million, forty-four thousand, four hundred sixty-four".