11214063360 has 576 divisors, whose sum is σ = 42031180800. Its totient is φ = 2827173888.

The previous prime is 11214063319. The next prime is 11214063391. The reversal of 11214063360 is 6336041211.

11214063360 is a `hidden beast` number, since 1 + 1 + 21 + 4 + 0 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 67149997 + ... + 67150163.

It is an arithmetic number, because the mean of its divisors is an integer number (72970800).

Almost surely, 2^11214063360 is an apocalyptic number.

11214063360 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 11214063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21015590400).

11214063360 is an abundant number, since it is smaller than the sum of its proper divisors (30817117440).

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

11214063360 is a wasteful number, since it uses less digits than its factorization.

11214063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 11214063360 in words is "eleven billion, two hundred fourteen million, sixty-three thousand, three hundred sixty".