13883076000 has 648 divisors, whose sum is σ = 53484693444. Its totient is φ = 3541190400.

The previous prime is 13883075939. The next prime is 13883076001. The reversal of 13883076000 is 67038831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13883076000 is a `hidden beast` number, since 13 + 8 + 8 + 30 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9384959376 + 4498116624 = 96876^2 + 67068^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13883076001) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 603611989 + ... + 603612011.

Almost surely, 2^13883076000 is an apocalyptic number.

13883076000 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 13883076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26742346722).

13883076000 is an abundant number, since it is smaller than the sum of its proper divisors (39601617444).

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

13883076000 is an frugal number, since it uses more digits than its factorization.

13883076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13883076000 in words is "thirteen billion, eight hundred eighty-three million, seventy-six thousand".