11346289128 has 96 divisors (see below), whose sum is σ = 32408781600. Its totient is φ = 3576182400.

The previous prime is 11346289111. The next prime is 11346289169. The reversal of 11346289128 is 82198264311.

11346289128 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 628 + 9 + 12 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 732423 + ... + 747753.

It is an arithmetic number, because the mean of its divisors is an integer number (337591475).

Almost surely, 2^11346289128 is an apocalyptic number.

11346289128 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 11346289128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204390800).

11346289128 is an abundant number, since it is smaller than the sum of its proper divisors (21062492472).

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

11346289128 is a wasteful number, since it uses less digits than its factorization.

11346289128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15903 (or 15896 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 11346289128 in words is "eleven billion, three hundred forty-six million, two hundred eighty-nine thousand, one hundred twenty-eight".