5141114784 has 72 divisors (see below), whose sum is σ = 15744675492. Its totient is φ = 1581880320.

The previous prime is 5141114773. The next prime is 5141114833. The reversal of 5141114784 is 4874111415.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4886010000 + 255104784 = 69900^2 + 15972^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5141114784² = 52862122444526733312, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 682837 + ... + 690324.

Almost surely, 2^5141114784 is an apocalyptic number.

It is an amenable number.

5141114784 is an abundant number, since it is smaller than the sum of its proper divisors (10603560708).

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

5141114784 is a wasteful number, since it uses less digits than its factorization.

5141114784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373190 (or 1373179 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 5141114784 is about 71701.5675142462. The cubic root of 5141114784 is about 1725.9137953649.

The spelling of 5141114784 in words is "five billion, one hundred forty-one million, one hundred fourteen thousand, seven hundred eighty-four".