11845639296 has 48 divisors (see below), whose sum is σ = 34087064310. Its totient is φ = 3948546048.

The previous prime is 11845639261. The next prime is 11845639297. The reversal of 11845639296 is 69293654811.

11845639296 is a `hidden beast` number, since 1 + 18 + 456 + 3 + 92 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11721093696 + 124545600 = 108264^2 + 11160^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11845639297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5140185 + ... + 5142488.

Almost surely, 2^11845639296 is an apocalyptic number.

11845639296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11845639296 is an abundant number, since it is smaller than the sum of its proper divisors (22241425014).

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

11845639296 is a wasteful number, since it uses less digits than its factorization.

11845639296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10282693 (or 10282678 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 11845639296 in words is "eleven billion, eight hundred forty-five million, six hundred thirty-nine thousand, two hundred ninety-six".