11332202114400 has 72 divisors (see below), whose sum is σ = 36886317890184. Its totient is φ = 3021920563200.

The previous prime is 11332202114371. The next prime is 11332202114459. The reversal of 11332202114400 is 441120223311.

It is a super-2 number, since 2×11332202114400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2360873041 + ... + 2360877840.

It is an arithmetic number, because the mean of its divisors is an integer number (512309970697).

Almost surely, 2^{11332202114400} is an apocalyptic number.

11332202114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332202114400 is an abundant number, since it is smaller than the sum of its proper divisors (25554115775784).

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

11332202114400 is a wasteful number, since it uses less digits than its factorization.

11332202114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721750904 (or 4721750891 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11332202114400 its reverse (441120223311), we get a palindrome (11773322337711).

The spelling of 11332202114400 in words is "eleven trillion, three hundred thirty-two billion, two hundred two million, one hundred fourteen thousand, four hundred".