11418217626816 has 2688 divisors, whose sum is σ = 48397831372800. Its totient is φ = 2475619614720.

The previous prime is 11418217626811. The next prime is 11418217626839. The reversal of 11418217626816 is 61862671281411.

11418217626816 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 8 + 2 + 1 + 7 + 626 + 8 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11418217626811) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40347058611 + ... + 40347058893.

It is an arithmetic number, because the mean of its divisors is an integer number (18005145600).

Almost surely, 2^{11418217626816} is an apocalyptic number.

11418217626816 is a gapful number since it is divisible by the number (16) 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 11418217626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24198915686400).

11418217626816 is an abundant number, since it is smaller than the sum of its proper divisors (36979613745984).

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

11418217626816 is a wasteful number, since it uses less digits than its factorization.

11418217626816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 11418217626816 in words is "eleven trillion, four hundred eighteen billion, two hundred seventeen million, six hundred twenty-six thousand, eight hundred sixteen".