13649356800 has 432 divisors, whose sum is σ = 51488892000. Its totient is φ = 3446046720.

The previous prime is 13649356769. The next prime is 13649356841. The reversal of 13649356800 is 865394631.

13649356800 is a `hidden beast` number, since 1 + 36 + 493 + 56 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8754421 + ... + 8755979.

It is an arithmetic number, because the mean of its divisors is an integer number (119187250).

Almost surely, 2^13649356800 is an apocalyptic number.

13649356800 is a gapful number since it is divisible by the number (10) 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 13649356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25744446000).

13649356800 is an abundant number, since it is smaller than the sum of its proper divisors (37839535200).

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

13649356800 is a wasteful number, since it uses less digits than its factorization.

13649356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13649356800 in words is "thirteen billion, six hundred forty-nine million, three hundred fifty-six thousand, eight hundred".