11714045923200 has 384 divisors, whose sum is σ = 41380163107200. Its totient is φ = 2903498956800.

The previous prime is 11714045923183. The next prime is 11714045923207. The reversal of 11714045923200 is 232954041711.

11714045923200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11714045923207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9061335 + ... + 10273065.

It is an arithmetic number, because the mean of its divisors is an integer number (107760841425).

Almost surely, 2^{11714045923200} is an apocalyptic number.

11714045923200 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 11714045923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20690081553600).

11714045923200 is an abundant number, since it is smaller than the sum of its proper divisors (29666117184000).

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

11714045923200 is a wasteful number, since it uses less digits than its factorization.

11714045923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211830 (or 1211813 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

Adding to 11714045923200 its reverse (232954041711), we get a palindrome (11946999964911).

The spelling of 11714045923200 in words is "eleven trillion, seven hundred fourteen billion, forty-five million, nine hundred twenty-three thousand, two hundred".