127214444448 has 648 divisors, whose sum is σ = 467164810476. Its totient is φ = 32707584000.

The previous prime is 127214444431. The next prime is 127214444459. The reversal of 127214444448 is 844444412721.

It is a happy number.

127214444448 is a `hidden beast` number, since 1 + 27 + 2 + 144 + 44 + 448 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8429443344 + 118785001104 = 91812^2 + 344652^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 97781398 + ... + 97782698.

Almost surely, 2^127214444448 is an apocalyptic number.

127214444448 is a gapful number since it is divisible by the number (18) 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 127214444448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233582405238).

127214444448 is an abundant number, since it is smaller than the sum of its proper divisors (339950366028).

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

127214444448 is a wasteful number, since it uses less digits than its factorization.

127214444448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1367 counting only the distinct ones).

The product of its digits is 917504, while the sum is 45.

The spelling of 127214444448 in words is "one hundred twenty-seven billion, two hundred fourteen million, four hundred forty-four thousand, four hundred forty-eight".