5146831872 has 792 divisors, whose sum is σ = 20439802656. Its totient is φ = 1210318848.

The previous prime is 5146831817. The next prime is 5146831897. The reversal of 5146831872 is 2781386415.

5146831872 is a `hidden beast` number, since 5 + 1 + 468 + 3 + 187 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 270885879 + ... + 270885897.

Almost surely, 2^5146831872 is an apocalyptic number.

5146831872 is a gapful number since it is divisible by the number (52) 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 5146831872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10219901328).

5146831872 is an abundant number, since it is smaller than the sum of its proper divisors (15292970784).

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

5146831872 is a wasteful number, since it uses less digits than its factorization.

5146831872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 61 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 5146831872 is about 71741.4236825560. The cubic root of 5146831872 is about 1726.5533159210.

It can be divided in two parts, 514 and 6831872, that added together give a palindrome (6832386).

The spelling of 5146831872 in words is "five billion, one hundred forty-six million, eight hundred thirty-one thousand, eight hundred seventy-two".