11841619296 has 96 divisors (see below), whose sum is σ = 33878960640. Its totient is φ = 3599645184.

The previous prime is 11841619277. The next prime is 11841619357. The reversal of 11841619296 is 69291614811.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46425 + ... + 160743.

It is an arithmetic number, because the mean of its divisors is an integer number (352905840).

Almost surely, 2^11841619296 is an apocalyptic number.

11841619296 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 11841619296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16939480320).

11841619296 is an abundant number, since it is smaller than the sum of its proper divisors (22037341344).

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

11841619296 is a wasteful number, since it uses less digits than its factorization.

11841619296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114428 (or 114420 counting only the distinct ones).

The product of its digits is 186624, while the sum is 48.

The spelling of 11841619296 in words is "eleven billion, eight hundred forty-one million, six hundred nineteen thousand, two hundred ninety-six".