12627466384 has 45 divisors (see below), whose sum is σ = 26504726859. Its totient is φ = 5825364480.

The previous prime is 12627466373. The next prime is 12627466403. The reversal of 12627466384 is 48366472621.

The square root of 12627466384 is 112372.

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

It can be written as a sum of positive squares in 4 ways, for example, as 849139600 + 11778326784 = 29140^2 + 108528^2 .

It is a super-3 number, since 3×12627466384³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5842264 + ... + 5844424.

Almost surely, 2^12627466384 is an apocalyptic number.

12627466384 is the 112372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12627466384

12627466384 is an abundant number, since it is smaller than the sum of its proper divisors (13877260475).

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

12627466384 is an frugal number, since it uses more digits than its factorization.

12627466384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 2176 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 49.

Multiplying 12627466384 by its sum of digits (49), we get a square (618745852816 = 786604²).

The spelling of 12627466384 in words is "twelve billion, six hundred twenty-seven million, four hundred sixty-six thousand, three hundred eighty-four".