11218186368000 has 1056 divisors, whose sum is σ = 42640325320320. Its totient is φ = 2940331622400.

The previous prime is 11218186367953. The next prime is 11218186368001. The reversal of 11218186368000 is 86368181211.

11218186368000 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 8 + 1 + 8 + 636 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11218186368001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1835132944 + ... + 1835139056.

Almost surely, 2^{11218186368000} is an apocalyptic number.

11218186368000 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 11218186368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21320162660160).

11218186368000 is an abundant number, since it is smaller than the sum of its proper divisors (31422138952320).

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

11218186368000 is an frugal number, since it uses more digits than its factorization.

11218186368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6222 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11218186368000 in words is "eleven trillion, two hundred eighteen billion, one hundred eighty-six million, three hundred sixty-eight thousand".