5146333920 has 1152 divisors, whose sum is σ = 23906534400. Its totient is φ = 1009262592.

The previous prime is 5146333903. The next prime is 5146333931. The reversal of 5146333920 is 293336415.

It is a happy number.

5146333920 is a `hidden beast` number, since 5 + 14 + 633 + 3 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×5146333920² = 52969505632285132800, which contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 97100614 + ... + 97100666.

It is an arithmetic number, because the mean of its divisors is an integer number (20752200).

Almost surely, 2^5146333920 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 5146333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11953267200).

5146333920 is an abundant number, since it is smaller than the sum of its proper divisors (18760200480).

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

5146333920 is a wasteful number, since it uses less digits than its factorization.

5146333920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 5146333920 is about 71737.9531350038. The cubic root of 5146333920 is about 1726.4976332262.

The spelling of 5146333920 in words is "five billion, one hundred forty-six million, three hundred thirty-three thousand, nine hundred twenty".