444631113310356 has 72 divisors (see below), whose sum is σ = 1284499466228160. Its totient is φ = 127036513143936.

The previous prime is 444631113310309. The next prime is 444631113310381. The reversal of 444631113310356 is 653013311136444.

444631113310356 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 311 + 13 + 310 + 3 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27613360 + ... + 40641848.

It is an arithmetic number, because the mean of its divisors is an integer number (17840270364280).

Almost surely, 2^{444631113310356} is an apocalyptic number.

It is an amenable number.

444631113310356 is an abundant number, since it is smaller than the sum of its proper divisors (839868352917804).

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

444631113310356 is a wasteful number, since it uses less digits than its factorization.

444631113310356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13163933 (or 13163928 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 444631113310356 in words is "four hundred forty-four trillion, six hundred thirty-one billion, one hundred thirteen million, three hundred ten thousand, three hundred fifty-six".