11314809000 has 896 divisors, whose sum is σ = 46405457280. Its totient is φ = 2550528000.

The previous prime is 11314808993. The next prime is 11314809001. The reversal of 11314809000 is 90841311.

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 (11314809001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 136322959 + ... + 136323041.

It is an arithmetic number, because the mean of its divisors is an integer number (51791805).

Almost surely, 2^11314809000 is an apocalyptic number.

11314809000 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 11314809000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23202728640).

11314809000 is an abundant number, since it is smaller than the sum of its proper divisors (35090648280).

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

11314809000 is a wasteful number, since it uses less digits than its factorization.

11314809000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11314809000 in words is "eleven billion, three hundred fourteen million, eight hundred nine thousand".