5181946000 has 720 divisors, whose sum is σ = 17597623680. Its totient is φ = 1463616000.

The previous prime is 5181945983. The next prime is 5181946031. The reversal of 5181946000 is 6491815.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 225301989 + ... + 225302011.

It is an arithmetic number, because the mean of its divisors is an integer number (24441144).

Almost surely, 2^5181946000 is an apocalyptic number.

5181946000 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 5181946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8798811840).

5181946000 is an abundant number, since it is smaller than the sum of its proper divisors (12415677680).

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

5181946000 is a wasteful number, since it uses less digits than its factorization.

5181946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 5181946000 is about 71985.7346979247. The cubic root of 5181946000 is about 1730.4708754218.

The spelling of 5181946000 in words is "five billion, one hundred eighty-one million, nine hundred forty-six thousand".