13853290000 has 225 divisors, whose sum is σ = 37214268091. Its totient is φ = 4990480000.

The previous prime is 13853289973. The next prime is 13853290001. The reversal of 13853290000 is 9235831.

It is a happy number.

The square root of 13853290000 is 117700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1086097936 + 12767192064 = 32956^2 + 112992^2 .

It is not an unprimeable number, because it can be changed into a prime (13853290001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 129469947 + ... + 129470053.

Almost surely, 2^13853290000 is an apocalyptic number.

13853290000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13853290000 is the 117700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13853290000

13853290000 is an abundant number, since it is smaller than the sum of its proper divisors (23360978091).

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

13853290000 is an equidigital number, since it uses as much as digits as its factorization.

13853290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 13853290000 in words is "thirteen billion, eight hundred fifty-three million, two hundred ninety thousand".