447326080623744 has 128 divisors (see below), whose sum is σ = 1394655637776000. Its totient is φ = 124353196130304.

The previous prime is 447326080623739. The next prime is 447326080623749.

447326080623744 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (447326080623739) and next prime (447326080623749).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (447326080623749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2248764769 + ... + 2248963680.

It is an arithmetic number, because the mean of its divisors is an integer number (10895747170125).

Almost surely, 2^{447326080623744} is an apocalyptic number.

It is an amenable number.

447326080623744 is an abundant number, since it is smaller than the sum of its proper divisors (947329557152256).

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

447326080623744 is a wasteful number, since it uses less digits than its factorization.

447326080623744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497728510 (or 4497728498 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 60.

The spelling of 447326080623744 in words is "four hundred forty-seven trillion, three hundred twenty-six billion, eighty million, six hundred twenty-three thousand, seven hundred forty-four".