127348062464 has 288 divisors, whose sum is σ = 307594070784. Its totient is φ = 51485736960.

The previous prime is 127348062451. The next prime is 127348062497. The reversal of 127348062464 is 464260843721.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546558092 + ... + 546558324.

It is an arithmetic number, because the mean of its divisors is an integer number (1068034968).

Almost surely, 2^127348062464 is an apocalyptic number.

127348062464 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 127348062464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153797035392).

127348062464 is an abundant number, since it is smaller than the sum of its proper divisors (180246008320).

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

127348062464 is a wasteful number, since it uses less digits than its factorization.

127348062464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The spelling of 127348062464 in words is "one hundred twenty-seven billion, three hundred forty-eight million, sixty-two thousand, four hundred sixty-four".