11022395904 has 240 divisors, whose sum is σ = 35191388232. Its totient is φ = 3299180544.

The previous prime is 11022395899. The next prime is 11022395939. The reversal of 11022395904 is 40959322011.

11022395904 is a `hidden beast` number, since 1 + 10 + 22 + 39 + 590 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10150965504 + 871430400 = 100752^2 + 29520^2 .

It is a super-2 number, since 2×11022395904² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2213962 + ... + 2218934.

Almost surely, 2^11022395904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17595694116).

11022395904 is an abundant number, since it is smaller than the sum of its proper divisors (24168992328).

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

11022395904 is a wasteful number, since it uses less digits than its factorization.

11022395904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 11022395904 in words is "eleven billion, twenty-two million, three hundred ninety-five thousand, nine hundred four".