5052149017344 has 1728 divisors, whose sum is σ = 18743434214400. Its totient is φ = 1330669486080.

The previous prime is 5052149017339. The next prime is 5052149017427. The reversal of 5052149017344 is 4437109412505.

5052149017344 is a `hidden beast` number, since 5 + 0 + 5 + 214 + 90 + 1 + 7 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a self number, because there is not a number n which added to its sum of digits gives 5052149017344.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22256162959 + ... + 22256163185.

It is an arithmetic number, because the mean of its divisors is an integer number (10846894800).

Almost surely, 2^{5052149017344} is an apocalyptic number.

5052149017344 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 5052149017344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9371717107200).

5052149017344 is an abundant number, since it is smaller than the sum of its proper divisors (13691285197056).

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

5052149017344 is a wasteful number, since it uses less digits than its factorization.

5052149017344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5052149017344 in words is "five trillion, fifty-two billion, one hundred forty-nine million, seventeen thousand, three hundred forty-four".