11173279968 has 144 divisors (see below), whose sum is σ = 33127750656. Its totient is φ = 3704434560.

The previous prime is 11173279921. The next prime is 11173279979. The reversal of 11173279968 is 86997237111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1481455 + ... + 1488977.

It is an arithmetic number, because the mean of its divisors is an integer number (230053824).

Almost surely, 2^11173279968 is an apocalyptic number.

11173279968 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 11173279968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16563875328).

11173279968 is an abundant number, since it is smaller than the sum of its proper divisors (21954470688).

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

11173279968 is an equidigital number, since it uses as much as digits as its factorization.

11173279968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7739 (or 7719 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The spelling of 11173279968 in words is "eleven billion, one hundred seventy-three million, two hundred seventy-nine thousand, nine hundred sixty-eight".