5944146390 has 768 divisors, whose sum is σ = 22338892800. Its totient is φ = 1107800064.

The previous prime is 5944146389. The next prime is 5944146431. The reversal of 5944146390 is 936414495.

5944146390 is a `hidden beast` number, since 5 + 9 + 4 + 4 + 1 + 4 + 639 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55552717 + ... + 55552823.

It is an arithmetic number, because the mean of its divisors is an integer number (29087100).

Almost surely, 2^5944146390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5944146390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11169446400).

5944146390 is an abundant number, since it is smaller than the sum of its proper divisors (16394746410).

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

5944146390 is a wasteful number, since it uses less digits than its factorization.

5944146390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5944146390 is about 77098.2904479730. The cubic root of 5944146390 is about 1811.4645198554.

The spelling of 5944146390 in words is "five billion, nine hundred forty-four million, one hundred forty-six thousand, three hundred ninety".