13384949760 has 1344 divisors, whose sum is σ = 62753443200. Its totient is φ = 2675441664.

The previous prime is 13384949737. The next prime is 13384949771. The reversal of 13384949760 is 6794948331.

It is a happy number.

13384949760 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 494 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 13384949697 and 13384949706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 704471031 + ... + 704471049.

It is an arithmetic number, because the mean of its divisors is an integer number (46691550).

Almost surely, 2^13384949760 is an apocalyptic number.

13384949760 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 13384949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31376721600).

13384949760 is an abundant number, since it is smaller than the sum of its proper divisors (49368493440).

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

13384949760 is a wasteful number, since it uses less digits than its factorization.

13384949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 13384949760 in words is "thirteen billion, three hundred eighty-four million, nine hundred forty-nine thousand, seven hundred sixty".