13644634032 has 200 divisors, whose sum is σ = 40679865072. Its totient is φ = 4412620800.

The previous prime is 13644634019. The next prime is 13644634039. The reversal of 13644634032 is 23043644631.

13644634032 is a `hidden beast` number, since 1 + 3 + 644 + 6 + 3 + 4 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13644634039) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11211088 + ... + 11212304.

Almost surely, 2^13644634032 is an apocalyptic number.

13644634032 is a gapful number since it is divisible by the number (12) 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 13644634032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20339932536).

13644634032 is an abundant number, since it is smaller than the sum of its proper divisors (27035231040).

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

13644634032 is a wasteful number, since it uses less digits than its factorization.

13644634032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 13644634032 in words is "thirteen billion, six hundred forty-four million, six hundred thirty-four thousand, thirty-two".