127774226432 has 192 divisors, whose sum is σ = 271123070400. Its totient is φ = 60114862080.

The previous prime is 127774226423. The next prime is 127774226449. The reversal of 127774226432 is 234622477721.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

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, 662042528 + ... + 662042720.

It is an arithmetic number, because the mean of its divisors is an integer number (1412099325).

Almost surely, 2^127774226432 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 127774226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135561535200).

127774226432 is an abundant number, since it is smaller than the sum of its proper divisors (143348843968).

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

127774226432 is a wasteful number, since it uses less digits than its factorization.

127774226432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 452 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 47.

The spelling of 127774226432 in words is "one hundred twenty-seven billion, seven hundred seventy-four million, two hundred twenty-six thousand, four hundred thirty-two".