11106833802408 has 320 divisors, whose sum is σ = 33523887513600. Its totient is φ = 3425567967360.

The previous prime is 11106833802401. The next prime is 11106833802437. The reversal of 11106833802408 is 80420833860111.

11106833802408 is a `hidden beast` number, since 1 + 1 + 10 + 68 + 338 + 0 + 240 + 8 = 666.

It is a super-2 number, since 2×11106833802408² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11106833802401) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1533454035 + ... + 1533461277.

It is an arithmetic number, because the mean of its divisors is an integer number (104762148480).

Almost surely, 2^{11106833802408} is an apocalyptic number.

11106833802408 is a gapful number since it is divisible by the number (18) 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 11106833802408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16761943756800).

11106833802408 is an abundant number, since it is smaller than the sum of its proper divisors (22417053711192).

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

11106833802408 is a wasteful number, since it uses less digits than its factorization.

11106833802408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11106833802408 in words is "eleven trillion, one hundred six billion, eight hundred thirty-three million, eight hundred two thousand, four hundred eight".