11345671296 has 160 divisors (see below), whose sum is σ = 33992830080. Its totient is φ = 3756326400.

The previous prime is 11345671289. The next prime is 11345671297. The reversal of 11345671296 is 69217654311.

11345671296 is a `hidden beast` number, since 11 + 345 + 6 + 7 + 1 + 296 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11345671297) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1561945 + ... + 1569191.

It is an arithmetic number, because the mean of its divisors is an integer number (212455188).

Almost surely, 2^11345671296 is an apocalyptic number.

11345671296 is a gapful number since it is divisible by the number (16) 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 11345671296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16996415040).

11345671296 is an abundant number, since it is smaller than the sum of its proper divisors (22647158784).

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

11345671296 is an equidigital number, since it uses as much as digits as its factorization.

11345671296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7424 (or 7403 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 11345671296 in words is "eleven billion, three hundred forty-five million, six hundred seventy-one thousand, two hundred ninety-six".