6386012027136 has 1215 divisors, whose sum is σ = 23370158637441. Its totient is φ = 1729234096128.

The previous prime is 6386012027107. The next prime is 6386012027141. The reversal of 6386012027136 is 6317202106836.

The square root of 6386012027136 is 2527056.

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

6386012027136 is a `hidden beast` number, since 6 + 3 + 8 + 601 + 2 + 0 + 2 + 7 + 1 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4451019745536 + 1934992281600 = 2109744^2 + 1391040^2 .

It is a super-2 number, since 2×6386012027136² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6386012027091 and 6386012027100.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 58587266250 + ... + 58587266358.

Almost surely, 2^{6386012027136} is an apocalyptic number.

6386012027136 is the 2527056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6386012027136

6386012027136 is an abundant number, since it is smaller than the sum of its proper divisors (16984146610305).

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

6386012027136 is an equidigital number, since it uses as much as digits as its factorization.

6386012027136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 6386012027136 in words is "six trillion, three hundred eighty-six billion, twelve million, twenty-seven thousand, one hundred thirty-six".