127243337253216 has 96 divisors (see below), whose sum is σ = 338276358604800. Its totient is φ = 41873273195520.

The previous prime is 127243337253181. The next prime is 127243337253293. The reversal of 127243337253216 is 612352733342721.

127243337253216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73766356 + ... + 75471596.

It is an arithmetic number, because the mean of its divisors is an integer number (3523712068800).

Almost surely, 2^{127243337253216} is an apocalyptic number.

127243337253216 is a gapful number since it is divisible by the number (16) 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 127243337253216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169138179302400).

127243337253216 is an abundant number, since it is smaller than the sum of its proper divisors (211033021351584).

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

127243337253216 is a wasteful number, since it uses less digits than its factorization.

127243337253216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715172 (or 1715164 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 51.

The spelling of 127243337253216 in words is "one hundred twenty-seven trillion, two hundred forty-three billion, three hundred thirty-seven million, two hundred fifty-three thousand, two hundred sixteen".