13649594112 has 432 divisors, whose sum is σ = 50140726272. Its totient is φ = 3467796480.

The previous prime is 13649594069. The next prime is 13649594131. The reversal of 13649594112 is 21149594631.

13649594112 is a `hidden beast` number, since 1 + 3 + 6 + 49 + 594 + 1 + 12 = 666.

It is a super-2 number, since 2×13649594112² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8337358 + ... + 8338994.

It is an arithmetic number, because the mean of its divisors is an integer number (116066496).

Almost surely, 2^13649594112 is an apocalyptic number.

13649594112 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 13649594112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25070363136).

13649594112 is an abundant number, since it is smaller than the sum of its proper divisors (36491132160).

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

13649594112 is a wasteful number, since it uses less digits than its factorization.

13649594112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1707 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 13649594112 in words is "thirteen billion, six hundred forty-nine million, five hundred ninety-four thousand, one hundred twelve".