11520000414 has 32 divisors (see below), whose sum is σ = 27569233440. Its totient is φ = 3544615296.

The previous prime is 11520000403. The next prime is 11520000421. The reversal of 11520000414 is 41400002511.

11520000414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8204427 + ... + 8205830.

It is an arithmetic number, because the mean of its divisors is an integer number (861538545).

Almost surely, 2^11520000414 is an apocalyptic number.

11520000414 is an abundant number, since it is smaller than the sum of its proper divisors (16049233026).

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

11520000414 is a wasteful number, since it uses less digits than its factorization.

11520000414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16410281 (or 16410275 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11520000414 its reverse (41400002511), we get a palindrome (52920002925).

The spelling of 11520000414 in words is "eleven billion, five hundred twenty million, four hundred fourteen", and thus it is an aban number.