11914164288 has 140 divisors (see below), whose sum is σ = 38034247020. Its totient is φ = 3665875968.

The previous prime is 11914164271. The next prime is 11914164299. The reversal of 11914164288 is 88246141911.

11914164288 is a `hidden beast` number, since 1 + 191 + 416 + 42 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1768034304 + 10146129984 = 42048^2 + 100728^2 .

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 21003 + ... + 155786.

It is an arithmetic number, because the mean of its divisors is an integer number (271673193).

Almost surely, 2^11914164288 is an apocalyptic number.

11914164288 is a gapful number since it is divisible by the number (18) 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 11914164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19017123510).

11914164288 is an abundant number, since it is smaller than the sum of its proper divisors (26120082732).

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

11914164288 is a wasteful number, since it uses less digits than its factorization.

11914164288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176826 (or 176807 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 11914164288 in words is "eleven billion, nine hundred fourteen million, one hundred sixty-four thousand, two hundred eighty-eight".