7137229905344 has 224 divisors, whose sum is σ = 18047499632640. Its totient is φ = 2719969459200.

The previous prime is 7137229905331. The next prime is 7137229905349. The reversal of 7137229905344 is 4435099227317.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 7137229905344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7137229905349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44355467 + ... + 44516085.

Almost surely, 2^{7137229905344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7137229905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9023749816320).

7137229905344 is an abundant number, since it is smaller than the sum of its proper divisors (10910269727296).

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

7137229905344 is a wasteful number, since it uses less digits than its factorization.

7137229905344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160847 (or 160837 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 56.

The spelling of 7137229905344 in words is "seven trillion, one hundred thirty-seven billion, two hundred twenty-nine million, nine hundred five thousand, three hundred forty-four".