46444822844464 has 20 divisors (see below), whose sum is σ = 98167466467080. Its totient is φ = 21111283111040.

The previous prime is 46444822844443. The next prime is 46444822844501.

46444822844464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46444822844396 and 46444822844405.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131945519269 + ... + 131945519620.

It is an arithmetic number, because the mean of its divisors is an integer number (4908373323354).

Almost surely, 2^{46444822844464} is an apocalyptic number.

46444822844464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46444822844464 is an abundant number, since it is smaller than the sum of its proper divisors (51722643622616).

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

46444822844464 is a wasteful number, since it uses less digits than its factorization.

46444822844464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263891038908 (or 263891038902 counting only the distinct ones).

The product of its digits is 603979776, while the sum is 64.

The spelling of 46444822844464 in words is "forty-six trillion, four hundred forty-four billion, eight hundred twenty-two million, eight hundred forty-four thousand, four hundred sixty-four".