11714047200 has 1152 divisors, whose sum is σ = 49946803200. Its totient is φ = 2627665920.

The previous prime is 11714047171. The next prime is 11714047211. The reversal of 11714047200 is 274041711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160466364 + ... + 160466436.

It is an arithmetic number, because the mean of its divisors is an integer number (43356600).

Almost surely, 2^11714047200 is an apocalyptic number.

11714047200 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 11714047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24973401600).

11714047200 is an abundant number, since it is smaller than the sum of its proper divisors (38232756000).

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

11714047200 is a wasteful number, since it uses less digits than its factorization.

11714047200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 11714047200 its reverse (274041711), we get a palindrome (11988088911).

The spelling of 11714047200 in words is "eleven billion, seven hundred fourteen million, forty-seven thousand, two hundred".