5145736849344 has 1568 divisors, whose sum is σ = 19503936055296. Its totient is φ = 1310369218560.

The previous prime is 5145736849327. The next prime is 5145736849367. The reversal of 5145736849344 is 4439486375415.

5145736849344 is a `hidden beast` number, since 5 + 1 + 45 + 7 + 3 + 68 + 493 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (174182400) is a multiple of the sum of its prime divisors (420).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 21351605064 + ... + 21351605304.

Almost surely, 2^{5145736849344} is an apocalyptic number.

5145736849344 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 5145736849344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9751968027648).

5145736849344 is an abundant number, since it is smaller than the sum of its proper divisors (14358199205952).

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

5145736849344 is a wasteful number, since it uses less digits than its factorization.

5145736849344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 420 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 5145736849344 in words is "five trillion, one hundred forty-five billion, seven hundred thirty-six million, eight hundred forty-nine thousand, three hundred forty-four".