13384602000 has 1600 divisors, whose sum is σ = 64039472640. Its totient is φ = 2612736000.

The previous prime is 13384601983. The next prime is 13384602001. The reversal of 13384602000 is 20648331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13384602001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 361745982 + ... + 361746018.

Almost surely, 2^13384602000 is an apocalyptic number.

13384602000 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 13384602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32019736320).

13384602000 is an abundant number, since it is smaller than the sum of its proper divisors (50654870640).

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

13384602000 is a wasteful number, since it uses less digits than its factorization.

13384602000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13384602000 in words is "thirteen billion, three hundred eighty-four million, six hundred two thousand".