444672313153104 has 80 divisors (see below), whose sum is σ = 1150765552401920. Its totient is φ = 147962525662080.

The previous prime is 444672313153091. The next prime is 444672313153121. The reversal of 444672313153104 is 401351313276444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 70106079 + ... + 76185345.

It is an arithmetic number, because the mean of its divisors is an integer number (14384569405024).

Almost surely, 2^{444672313153104} is an apocalyptic number.

It is an amenable number.

444672313153104 is an abundant number, since it is smaller than the sum of its proper divisors (706093239248816).

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

444672313153104 is a wasteful number, since it uses less digits than its factorization.

444672313153104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6081968 (or 6081962 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 444672313153104 in words is "four hundred forty-four trillion, six hundred seventy-two billion, three hundred thirteen million, one hundred fifty-three thousand, one hundred four".