11314313760 has 192 divisors, whose sum is σ = 36566982144. Its totient is φ = 2939289600.

The previous prime is 11314313749. The next prime is 11314313761. The reversal of 11314313760 is 6731341311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11314313761) 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 31 ways as a sum of consecutive naturals, for example, 5435920 + ... + 5438000.

It is an arithmetic number, because the mean of its divisors is an integer number (190453032).

Almost surely, 2^11314313760 is an apocalyptic number.

11314313760 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 11314313760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18283491072).

11314313760 is an abundant number, since it is smaller than the sum of its proper divisors (25252668384).

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

11314313760 is a wasteful number, since it uses less digits than its factorization.

11314313760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 11314313760 in words is "eleven billion, three hundred fourteen million, three hundred thirteen thousand, seven hundred sixty".