12538367136 has 480 divisors, whose sum is σ = 41203717632. Its totient is φ = 3722526720.

The previous prime is 12538367117. The next prime is 12538367141. The reversal of 12538367136 is 63176383521.

12538367136 is a `hidden beast` number, since 1 + 253 + 8 + 367 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12538367091 and 12538367100.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91520860 + ... + 91520996.

Almost surely, 2^12538367136 is an apocalyptic number.

12538367136 is a gapful number since it is divisible by the number (16) 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 12538367136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20601858816).

12538367136 is an abundant number, since it is smaller than the sum of its proper divisors (28665350496).

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

12538367136 is a wasteful number, since it uses less digits than its factorization.

12538367136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 12538367136 in words is "twelve billion, five hundred thirty-eight million, three hundred sixty-seven thousand, one hundred thirty-six".