5091476344900 has 243 divisors, whose sum is σ = 12356835100869. Its totient is φ = 1819585152000.

The previous prime is 5091476344883. The next prime is 5091476344901. The reversal of 5091476344900 is 94436741905.

The square root of 5091476344900 is 2256430.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2012125228036 + 3079351116864 = 1418494^2 + 1754808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5091476344901) 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 80 ways as a sum of consecutive naturals, for example, 18119132760 + ... + 18119133040.

Almost surely, 2^{5091476344900} is an apocalyptic number.

5091476344900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5091476344900 is the 2256430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5091476344900

5091476344900 is an abundant number, since it is smaller than the sum of its proper divisors (7265358755969).

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

5091476344900 is a wasteful number, since it uses less digits than its factorization.

5091476344900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 5091476344900 in words is "five trillion, ninety-one billion, four hundred seventy-six million, three hundred forty-four thousand, nine hundred".