127864182357464 has 96 divisors (see below), whose sum is σ = 281919975068160. Its totient is φ = 54205758734400.

The previous prime is 127864182357413. The next prime is 127864182357473. The reversal of 127864182357464 is 464753281468721.

It is a super-2 number, since 2×127864182357464² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127864182357394 and 127864182357403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11967329 + ... + 19973615.

It is an arithmetic number, because the mean of its divisors is an integer number (2936666406960).

Almost surely, 2^{127864182357464} is an apocalyptic number.

127864182357464 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 127864182357464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140959987534080).

127864182357464 is an abundant number, since it is smaller than the sum of its proper divisors (154055792710696).

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

127864182357464 is a wasteful number, since it uses less digits than its factorization.

127864182357464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8006749 (or 8006738 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 68.

The spelling of 127864182357464 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, one hundred eighty-two million, three hundred fifty-seven thousand, four hundred sixty-four".