11300114406 has 64 divisors (see below), whose sum is σ = 27133056000. Its totient is φ = 3067464576.

The previous prime is 11300114323. The next prime is 11300114443. The reversal of 11300114406 is 60441100311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104680 + ... + 183188.

It is an arithmetic number, because the mean of its divisors is an integer number (423954000).

Almost surely, 2^11300114406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300114406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13566528000).

11300114406 is an abundant number, since it is smaller than the sum of its proper divisors (15832941594).

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

11300114406 is a wasteful number, since it uses less digits than its factorization.

11300114406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78693.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11300114406 its reverse (60441100311), we get a palindrome (71741214717).

The spelling of 11300114406 in words is "eleven billion, three hundred million, one hundred fourteen thousand, four hundred six".