5046516900 has 216 divisors, whose sum is σ = 16466696064. Its totient is φ = 1291680000.

The previous prime is 5046516883. The next prime is 5046516901. The reversal of 5046516900 is 96156405.

5046516900 is a `hidden beast` number, since 50 + 4 + 6 + 516 + 90 + 0 = 666.

It is a super-2 number, since 2×5046516900² = 50934665643971220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5046516901) 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 71 ways as a sum of consecutive naturals, for example, 2240775 + ... + 2243025.

It is an arithmetic number, because the mean of its divisors is an integer number (76234704).

Almost surely, 2^5046516900 is an apocalyptic number.

5046516900 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 5046516900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233348032).

5046516900 is an abundant number, since it is smaller than the sum of its proper divisors (11420179164).

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

5046516900 is a wasteful number, since it uses less digits than its factorization.

5046516900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5046516900 is about 71038.8407844610. The cubic root of 5046516900 is about 1715.2624383407.

The spelling of 5046516900 in words is "five billion, forty-six million, five hundred sixteen thousand, nine hundred".