127344099456 has 896 divisors, whose sum is σ = 473770905600. Its totient is φ = 33256396800.

The previous prime is 127344099433. The next prime is 127344099461. The reversal of 127344099456 is 654990443721.

127344099456 is a `hidden beast` number, since 1 + 2 + 73 + 440 + 99 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 384725211 + ... + 384725541.

Almost surely, 2^127344099456 is an apocalyptic number.

127344099456 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 127344099456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236885452800).

127344099456 is an abundant number, since it is smaller than the sum of its proper divisors (346426806144).

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

127344099456 is an equidigital number, since it uses as much as digits as its factorization.

127344099456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 127344099456 in words is "one hundred twenty-seven billion, three hundred forty-four million, ninety-nine thousand, four hundred fifty-six".