13662738936 has 256 divisors, whose sum is σ = 47609856000. Its totient is φ = 3526796160.

The previous prime is 13662738923. The next prime is 13662738949. The reversal of 13662738936 is 63983726631.

13662738936 is a `hidden beast` number, since 1 + 3 + 6 + 627 + 3 + 8 + 9 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13662738923) and next prime (13662738949).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2775085 + ... + 2780003.

It is an arithmetic number, because the mean of its divisors is an integer number (185976000).

Almost surely, 2^13662738936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13662738936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23804928000).

13662738936 is an abundant number, since it is smaller than the sum of its proper divisors (33947117064).

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

13662738936 is a wasteful number, since it uses less digits than its factorization.

13662738936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5109 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 13662738936 in words is "thirteen billion, six hundred sixty-two million, seven hundred thirty-eight thousand, nine hundred thirty-six".