945115344 has 80 divisors (see below), whose sum is σ = 2731224000. Its totient is φ = 312902784.

The previous prime is 945115319. The next prime is 945115373. The reversal of 945115344 is 443511549.

It is a happy number.

945115344 is a `hidden beast` number, since 94 + 511 + 53 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 945115299 and 945115308.

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, 57027 + ... + 71709.

It is an arithmetic number, because the mean of its divisors is an integer number (34140300).

Almost surely, 2^945115344 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 945115344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365612000).

945115344 is an abundant number, since it is smaller than the sum of its proper divisors (1786108656).

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

945115344 is a wasteful number, since it uses less digits than its factorization.

945115344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14849 (or 14837 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 945115344 is about 30742.7283109356. The cubic root of 945115344 is about 981.3598171331.

The spelling of 945115344 in words is "nine hundred forty-five million, one hundred fifteen thousand, three hundred forty-four".