11208687114240 has 1152 divisors, whose sum is σ = 48648033907200. Its totient is φ = 2318739701760.

The previous prime is 11208687114221. The next prime is 11208687114259. The reversal of 11208687114240 is 4241178680211.

11208687114240 is a `hidden beast` number, since 1 + 1 + 208 + 6 + 8 + 7 + 11 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11208687114221) and next prime (11208687114259).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1653439171 + ... + 1653445949.

It is an arithmetic number, because the mean of its divisors is an integer number (42229196100).

Almost surely, 2^{11208687114240} is an apocalyptic number.

11208687114240 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 11208687114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24324016953600).

11208687114240 is an abundant number, since it is smaller than the sum of its proper divisors (37439346792960).

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

11208687114240 is a wasteful number, since it uses less digits than its factorization.

11208687114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11208687114240 in words is "eleven trillion, two hundred eight billion, six hundred eighty-seven million, one hundred fourteen thousand, two hundred forty".