11311346000 has 160 divisors (see below), whose sum is σ = 28955646720. Its totient is φ = 4261824000.

The previous prime is 11311345993. The next prime is 11311346017. The reversal of 11311346000 is 64311311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7485245 + ... + 7486755.

It is an arithmetic number, because the mean of its divisors is an integer number (180972792).

Almost surely, 2^11311346000 is an apocalyptic number.

11311346000 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 11311346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477823360).

11311346000 is an abundant number, since it is smaller than the sum of its proper divisors (17644300720).

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

11311346000 is a wasteful number, since it uses less digits than its factorization.

11311346000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11311346000 its reverse (64311311), we get a palindrome (11375657311).

The spelling of 11311346000 in words is "eleven billion, three hundred eleven million, three hundred forty-six thousand".