127466947227648 has 1248 divisors, whose sum is σ = 426840794726400. Its totient is φ = 33627849228288.

The previous prime is 127466947227593. The next prime is 127466947227649. The reversal of 127466947227648 is 846722749664721.

It is a super-2 number, since 2×127466947227648² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127466947227648.

It is not an unprimeable number, because it can be changed into a prime (127466947227649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85720878361 + ... + 85720879847.

Almost surely, 2^{127466947227648} 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 127466947227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213420397363200).

127466947227648 is an abundant number, since it is smaller than the sum of its proper divisors (299373847498752).

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

127466947227648 is a wasteful number, since it uses less digits than its factorization.

127466947227648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1704 counting only the distinct ones).

The product of its digits is 2731180032, while the sum is 75.

The spelling of 127466947227648 in words is "one hundred twenty-seven trillion, four hundred sixty-six billion, nine hundred forty-seven million, two hundred twenty-seven thousand, six hundred forty-eight".