5146114600 has 192 divisors, whose sum is σ = 13457352960. Its totient is φ = 1814092800.

The previous prime is 5146114559. The next prime is 5146114609. The reversal of 5146114600 is 64116415.

It is not an unprimeable number, because it can be changed into a prime (5146114609) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16233642 + ... + 16233958.

It is an arithmetic number, because the mean of its divisors is an integer number (70090380).

Almost surely, 2^5146114600 is an apocalyptic number.

5146114600 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 5146114600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728676480).

5146114600 is an abundant number, since it is smaller than the sum of its proper divisors (8311238360).

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

5146114600 is a wasteful number, since it uses less digits than its factorization.

5146114600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 5146114600 is about 71736.4244996919. The cubic root of 5146114600 is about 1726.4731069747.

The spelling of 5146114600 in words is "five billion, one hundred forty-six million, one hundred fourteen thousand, six hundred".