944946395559936 has 7680 divisors, whose sum is σ = 4076955058176000. Its totient is φ = 210691031040000.

The previous prime is 944946395559863. The next prime is 944946395560061. The reversal of 944946395559936 is 639955593649449.

944946395559936 is a `hidden beast` number, since 9 + 4 + 4 + 9 + 4 + 6 + 3 + 9 + 5 + 5 + 599 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 13309104162781 + ... + 13309104162851.

It is an arithmetic number, because the mean of its divisors is an integer number (530853523200).

Almost surely, 2^{944946395559936} is an apocalyptic number.

944946395559936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 944946395559936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038477529088000).

944946395559936 is an abundant number, since it is smaller than the sum of its proper divisors (3132008662616064).

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

944946395559936 is a wasteful number, since it uses less digits than its factorization.

944946395559936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its digits is 153055008000, while the sum is 90.

The spelling of 944946395559936 in words is "nine hundred forty-four trillion, nine hundred forty-six billion, three hundred ninety-five million, five hundred fifty-nine thousand, nine hundred thirty-six".