945944146368 has 896 divisors, whose sum is σ = 3166859808000. Its totient is φ = 274975948800.

The previous prime is 945944146319. The next prime is 945944146387. The reversal of 945944146368 is 863641449549.

It is a happy number.

945944146368 is a `hidden beast` number, since 9 + 4 + 594 + 4 + 1 + 4 + 6 + 36 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6348618358 + ... + 6348618506.

It is an arithmetic number, because the mean of its divisors is an integer number (3534441750).

Almost surely, 2^945944146368 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 945944146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583429904000).

945944146368 is an abundant number, since it is smaller than the sum of its proper divisors (2220915661632).

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

945944146368 is a wasteful number, since it uses less digits than its factorization.

945944146368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 945944146368 in words is "nine hundred forty-five billion, nine hundred forty-four million, one hundred forty-six thousand, three hundred sixty-eight".