444404677646604 has 192 divisors, whose sum is σ = 1106845798367232. Its totient is φ = 138586227091200.

The previous prime is 444404677646591. The next prime is 444404677646617. The reversal of 444404677646604 is 406646776404444.

It is an interprime number because it is at equal distance from previous prime (444404677646591) and next prime (444404677646617).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418770789 + ... + 419830659.

It is an arithmetic number, because the mean of its divisors is an integer number (5764821866496).

Almost surely, 2^{444404677646604} is an apocalyptic number.

It is an amenable number.

444404677646604 is an abundant number, since it is smaller than the sum of its proper divisors (662441120720628).

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

444404677646604 is a wasteful number, since it uses less digits than its factorization.

444404677646604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060316 (or 1060314 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 66.

The spelling of 444404677646604 in words is "four hundred forty-four trillion, four hundred four billion, six hundred seventy-seven million, six hundred forty-six thousand, six hundred four".