11414000000 has 224 divisors, whose sum is σ = 30679294800. Its totient is φ = 4204800000.

The previous prime is 11413999969. The next prime is 11414000011. The reversal of 11414000000 is 41411.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 25999781 + ... + 26000219.

Almost surely, 2^11414000000 is an apocalyptic number.

11414000000 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 11414000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15339647400).

11414000000 is an abundant number, since it is smaller than the sum of its proper divisors (19265294800).

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

11414000000 is an frugal number, since it uses more digits than its factorization.

11414000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11414000000 its reverse (41411), we get a palindrome (11414041411).

The spelling of 11414000000 in words is "eleven billion, four hundred fourteen million", and thus it is an aban number.