11100870144 has 480 divisors, whose sum is σ = 41181364224. Its totient is φ = 2797977600.

The previous prime is 11100870127. The next prime is 11100870173. The reversal of 11100870144 is 44107800111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9643969 + ... + 9645119.

Almost surely, 2^11100870144 is an apocalyptic number.

11100870144 is a gapful number since it is divisible by the number (14) 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 11100870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20590682112).

11100870144 is an abundant number, since it is smaller than the sum of its proper divisors (30080494080).

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

11100870144 is a wasteful number, since it uses less digits than its factorization.

11100870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 11100870144 in words is "eleven billion, one hundred million, eight hundred seventy thousand, one hundred forty-four".