5146381800 has 864 divisors, whose sum is σ = 21997029600. Its totient is φ = 1071221760.

The previous prime is 5146381759. The next prime is 5146381853. The reversal of 5146381800 is 81836415.

5146381800 is a `hidden beast` number, since 5 + 1 + 4 + 638 + 18 + 0 + 0 = 666.

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

It is a zygodrome in base 11.

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 215 ways as a sum of consecutive naturals, for example, 62004559 + ... + 62004641.

It is an arithmetic number, because the mean of its divisors is an integer number (25459525).

Almost surely, 2^5146381800 is an apocalyptic number.

5146381800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5146381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998514800).

5146381800 is an abundant number, since it is smaller than the sum of its proper divisors (16850647800).

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

5146381800 is a wasteful number, since it uses less digits than its factorization.

5146381800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5146381800 is about 71738.2868487950. The cubic root of 5146381800 is about 1726.5029874875.

The spelling of 5146381800 in words is "five billion, one hundred forty-six million, three hundred eighty-one thousand, eight hundred".