944874405904 has 320 divisors, whose sum is σ = 2219377950720. Its totient is φ = 386358336000.

The previous prime is 944874405799. The next prime is 944874405911. The reversal of 944874405904 is 409504478449.

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, 3486621289 + ... + 3486621559.

It is an arithmetic number, because the mean of its divisors is an integer number (6935556096).

Almost surely, 2^944874405904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 944874405904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109688975360).

944874405904 is an abundant number, since it is smaller than the sum of its proper divisors (1274503544816).

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

944874405904 is a wasteful number, since it uses less digits than its factorization.

944874405904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 944874405904 in words is "nine hundred forty-four billion, eight hundred seventy-four million, four hundred five thousand, nine hundred four".