11355166638 has 96 divisors (see below), whose sum is σ = 25792715520. Its totient is φ = 3606197760.

The previous prime is 11355166621. The next prime is 11355166639. The reversal of 11355166638 is 83666155311.

11355166638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11355166593 and 11355166602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355166639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18523620 + ... + 18524232.

It is an arithmetic number, because the mean of its divisors is an integer number (268674120).

Almost surely, 2^11355166638 is an apocalyptic number.

11355166638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11355166638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12896357760).

11355166638 is an abundant number, since it is smaller than the sum of its proper divisors (14437548882).

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

11355166638 is a wasteful number, since it uses less digits than its factorization.

11355166638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1111 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 11355166638 in words is "eleven billion, three hundred fifty-five million, one hundred sixty-six thousand, six hundred thirty-eight".