11293189152 has 144 divisors (see below), whose sum is σ = 35984233152. Its totient is φ = 3086307840.

The previous prime is 11293189109. The next prime is 11293189153. The reversal of 11293189152 is 25198139211.

It is a super-2 number, since 2×11293189152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11293189153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56002 + ... + 160382.

It is an arithmetic number, because the mean of its divisors is an integer number (249890508).

Almost surely, 2^11293189152 is an apocalyptic number.

11293189152 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 11293189152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992116576).

11293189152 is an abundant number, since it is smaller than the sum of its proper divisors (24691044000).

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

11293189152 is a wasteful number, since it uses less digits than its factorization.

11293189152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104431 (or 104416 counting only the distinct ones).

The product of its digits is 38880, while the sum is 42.

The spelling of 11293189152 in words is "eleven billion, two hundred ninety-three million, one hundred eighty-nine thousand, one hundred fifty-two".