944957325312 has 1536 divisors, whose sum is σ = 3826740691200. Its totient is φ = 224227491840.

The previous prime is 944957325271. The next prime is 944957325317. The reversal of 944957325312 is 213523759449.

It is a happy number.

944957325312 is a `hidden beast` number, since 9 + 4 + 4 + 9 + 573 + 2 + 53 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (944957325317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9741828048 + ... + 9741828144.

Almost surely, 2^944957325312 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 944957325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913370345600).

944957325312 is an abundant number, since it is smaller than the sum of its proper divisors (2881783365888).

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

944957325312 is a wasteful number, since it uses less digits than its factorization.

944957325312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 133 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 944957325312 in words is "nine hundred forty-four billion, nine hundred fifty-seven million, three hundred twenty-five thousand, three hundred twelve".