11114503400 has 576 divisors, whose sum is σ = 36018528000. Its totient is φ = 3166732800.

The previous prime is 11114503399. The next prime is 11114503427. The reversal of 11114503400 is 430541111.

It is a happy number.

It is a super-2 number, since 2×11114503400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107907749 + ... + 107907851.

Almost surely, 2^11114503400 is an apocalyptic number.

11114503400 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 11114503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18009264000).

11114503400 is an abundant number, since it is smaller than the sum of its proper divisors (24904024600).

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

11114503400 is a wasteful number, since it uses less digits than its factorization.

11114503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 11114503400 in words is "eleven billion, one hundred fourteen million, five hundred three thousand, four hundred".