5114244096000 has 3136 divisors, whose sum is σ = 22526240196096. Its totient is φ = 1146617856000.

The previous prime is 5114244095941. The next prime is 5114244096007. The reversal of 5114244096000 is 6904424115.

5114244096000 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 2 + 4 + 40 + 9 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5114244096007) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 164975615985 + ... + 164975616015.

Almost surely, 2^{5114244096000} is an apocalyptic number.

5114244096000 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 5114244096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11263120098048).

5114244096000 is an abundant number, since it is smaller than the sum of its proper divisors (17411996100096).

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

5114244096000 is an equidigital number, since it uses as much as digits as its factorization.

5114244096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 5114244096000 in words is "five trillion, one hundred fourteen billion, two hundred forty-four million, ninety-six thousand".