127446144016 has 45 divisors (see below), whose sum is σ = 255237890943. Its totient is φ = 61646069280.

The previous prime is 127446143999. The next prime is 127446144019. The reversal of 127446144016 is 610441644721.

It is a happy number.

The square root of 127446144016 is 356996.

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

It is a self number, because there is not a number n which added to its sum of digits gives 127446144016.

It is not an unprimeable number, because it can be changed into a prime (127446144019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44266065 + ... + 44268943.

Almost surely, 2^127446144016 is an apocalyptic number.

127446144016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127446144016 is the 356996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127446144016

127446144016 is an abundant number, since it is smaller than the sum of its proper divisors (127791746927).

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

127446144016 is an frugal number, since it uses more digits than its factorization.

127446144016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

Adding to 127446144016 its reverse (610441644721), we get a palindrome (737887788737).

The spelling of 127446144016 in words is "one hundred twenty-seven billion, four hundred forty-six million, one hundred forty-four thousand, sixteen".