11713414900 has 36 divisors (see below), whose sum is σ = 27728850240. Its totient is φ = 4259423200.

The previous prime is 11713414891. The next prime is 11713414901. The reversal of 11713414900 is 941431711.

11713414900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11713414900³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11713414901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5323180 + ... + 5325379.

It is an arithmetic number, because the mean of its divisors is an integer number (770245840).

Almost surely, 2^11713414900 is an apocalyptic number.

11713414900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11713414900 is an abundant number, since it is smaller than the sum of its proper divisors (16015435340).

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

11713414900 is a wasteful number, since it uses less digits than its factorization.

11713414900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10648584 (or 10648577 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 11713414900 in words is "eleven billion, seven hundred thirteen million, four hundred fourteen thousand, nine hundred".