127369044544 has 63 divisors (see below), whose sum is σ = 294059060217. Its totient is φ = 54578168064.

The previous prime is 127369044521. The next prime is 127369044553. The reversal of 127369044544 is 445440963721.

The square root of 127369044544 is 356888.

It is a perfect power (a square), and thus also a powerful number.

127369044544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 105313230400 + 22055814144 = 324520^2 + 148512^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19982542 + ... + 19988914.

Almost surely, 2^127369044544 is an apocalyptic number.

127369044544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

127369044544 is the 356888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127369044544

127369044544 is an abundant number, since it is smaller than the sum of its proper divisors (166690015673).

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

127369044544 is an frugal number, since it uses more digits than its factorization.

127369044544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12772 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

Multiplying 127369044544 by its sum of digits (49), we get a square (6241083182656 = 2498216²).

127369044544 divided by its sum of digits (49) gives a square (2599368256 = 50984²).

The spelling of 127369044544 in words is "one hundred twenty-seven billion, three hundred sixty-nine million, forty-four thousand, five hundred forty-four".