5190914304 has 243 divisors, whose sum is σ = 15998343543. Its totient is φ = 1618486272.

The previous prime is 5190914293. The next prime is 5190914327. The reversal of 5190914304 is 4034190915.

It is a happy number.

The square root of 5190914304 is 72048.

It is a perfect power (a square), and thus also a powerful number.

5190914304 is a `hidden beast` number, since 51 + 90 + 91 + 430 + 4 = 666.

It is a super-2 number, since 2×5190914304² = 53891182622943608832, 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 polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65707737 + ... + 65707815.

Almost surely, 2^5190914304 is an apocalyptic number.

5190914304 is the 72048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5190914304

5190914304 is an abundant number, since it is smaller than the sum of its proper divisors (10807429239).

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

5190914304 is an equidigital number, since it uses as much as digits as its factorization.

5190914304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The cubic root of 5190914304 is about 1731.4685986984.

Multiplying 5190914304 by its sum of digits (36), we get a square (186872914944 = 432288²).

5190914304 divided by its sum of digits (36) gives a square (144192064 = 12008²).

The spelling of 5190914304 in words is "five billion, one hundred ninety million, nine hundred fourteen thousand, three hundred four".