11314048760 has 128 divisors (see below), whose sum is σ = 30844800000. Its totient is φ = 3646162944.

The previous prime is 11314048741. The next prime is 11314048783. The reversal of 11314048760 is 6784041311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11314048760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6658391 + ... + 6660089.

It is an arithmetic number, because the mean of its divisors is an integer number (240975000).

Almost surely, 2^11314048760 is an apocalyptic number.

11314048760 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 11314048760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400000).

11314048760 is an abundant number, since it is smaller than the sum of its proper divisors (19530751240).

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

11314048760 is a wasteful number, since it uses less digits than its factorization.

11314048760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 11314048760 in words is "eleven billion, three hundred fourteen million, forty-eight thousand, seven hundred sixty".