5013736138944 has 336 divisors, whose sum is σ = 16993737135648. Its totient is φ = 1451940691968.

The previous prime is 5013736138919. The next prime is 5013736138967. The reversal of 5013736138944 is 4498316373105.

5013736138944 is a `hidden beast` number, since 5 + 0 + 13 + 7 + 3 + 613 + 8 + 9 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2707614 + ... + 4166370.

It is an arithmetic number, because the mean of its divisors is an integer number (50576598618).

Almost surely, 2^{5013736138944} is an apocalyptic number.

5013736138944 is a gapful number since it is divisible by the number (54) 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 5013736138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8496868567824).

5013736138944 is an abundant number, since it is smaller than the sum of its proper divisors (11980000996704).

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

5013736138944 is a wasteful number, since it uses less digits than its factorization.

5013736138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458814 (or 1458792 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 5013736138944 in words is "five trillion, thirteen billion, seven hundred thirty-six million, one hundred thirty-eight thousand, nine hundred forty-four".