444516552600456 has 64 divisors (see below), whose sum is σ = 1270094694065280. Its totient is φ = 126999989222400.

The previous prime is 444516552600431. The next prime is 444516552600473. The reversal of 444516552600456 is 654006255615444.

It is a junction number, because it is equal to n+sod(n) for n = 444516552600396 and 444516552600405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44859991 + ... + 53865126.

It is an arithmetic number, because the mean of its divisors is an integer number (19845229594770).

Almost surely, 2^{444516552600456} is an apocalyptic number.

It is an amenable number.

444516552600456 is an abundant number, since it is smaller than the sum of its proper divisors (825578141464824).

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

444516552600456 is a wasteful number, since it uses less digits than its factorization.

444516552600456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98751934 (or 98751930 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 57.

The spelling of 444516552600456 in words is "four hundred forty-four trillion, five hundred sixteen billion, five hundred fifty-two million, six hundred thousand, four hundred fifty-six".