127348944506784 has 1728 divisors, whose sum is σ = 518634812037888. Its totient is φ = 28683760435200.

The previous prime is 127348944506779. The next prime is 127348944506821. The reversal of 127348944506784 is 487605449843721.

It is a happy number.

127348944506784 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 4 + 8 + 9 + 44 + 506 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41603704614 + ... + 41603707674.

It is an arithmetic number, because the mean of its divisors is an integer number (300135886596).

It is a 2-persistent number, because it is pandigital, and so is 2⋅127348944506784 = 254697889013568, but 3⋅127348944506784 = 382046833520352 is not.

Almost surely, 2^{127348944506784} is an apocalyptic number.

127348944506784 is a gapful number since it is divisible by the number (14) 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 127348944506784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259317406018944).

127348944506784 is an abundant number, since it is smaller than the sum of its proper divisors (391285867531104).

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

127348944506784 is a wasteful number, since it uses less digits than its factorization.

127348944506784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 127348944506784 in words is "one hundred twenty-seven trillion, three hundred forty-eight billion, nine hundred forty-four million, five hundred six thousand, seven hundred eighty-four".