13649655384000 has 1120 divisors, whose sum is σ = 53399881446912. Its totient is φ = 3436369920000.

The previous prime is 13649655383981. The next prime is 13649655384017. The reversal of 13649655384000 is 48355694631.

13649655384000 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 9 + 6 + 553 + 84 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 823599714 + ... + 823616286.

Almost surely, 2^{13649655384000} is an apocalyptic number.

13649655384000 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 13649655384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26699940723456).

13649655384000 is an abundant number, since it is smaller than the sum of its proper divisors (39750226062912).

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

13649655384000 is a wasteful number, since it uses less digits than its factorization.

13649655384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16684 (or 16655 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 13649655384000 in words is "thirteen trillion, six hundred forty-nine billion, six hundred fifty-five million, three hundred eighty-four thousand".