11106469872 has 200 divisors, whose sum is σ = 32686814160. Its totient is φ = 3640412160.

The previous prime is 11106469861. The next prime is 11106469877. The reversal of 11106469872 is 27896460111.

11106469872 is a `hidden beast` number, since 1 + 1 + 106 + 469 + 87 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106469877) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26506879 + ... + 26507297.

Almost surely, 2^11106469872 is an apocalyptic number.

11106469872 is a gapful number since it is divisible by the number (12) 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 11106469872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343407080).

11106469872 is an abundant number, since it is smaller than the sum of its proper divisors (21580344288).

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

11106469872 is a wasteful number, since it uses less digits than its factorization.

11106469872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11106469872 in words is "eleven billion, one hundred six million, four hundred sixty-nine thousand, eight hundred seventy-two".