13649784748992 has 224 divisors, whose sum is σ = 45863602252800. Its totient is φ = 3899665161216.

The previous prime is 13649784748969. The next prime is 13649784749053. The reversal of 13649784748992 is 29984748794631.

13649784748992 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 9 + 7 + 8 + 47 + 489 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225910978 + ... + 225971390.

Almost surely, 2^{13649784748992} is an apocalyptic number.

13649784748992 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 13649784748992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22931801126400).

13649784748992 is an abundant number, since it is smaller than the sum of its proper divisors (32213817503808).

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

13649784748992 is a wasteful number, since it uses less digits than its factorization.

13649784748992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79120 (or 79104 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 81.

The spelling of 13649784748992 in words is "thirteen trillion, six hundred forty-nine billion, seven hundred eighty-four million, seven hundred forty-eight thousand, nine hundred ninety-two".