11261844296384 has 112 divisors (see below), whose sum is σ = 25222148305920. Its totient is φ = 4942081213440.

The previous prime is 11261844296369. The next prime is 11261844296387. The reversal of 11261844296384 is 48369244816211.

It is a super-3 number, since 3×11261844296384³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11261844296387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468392267 + ... + 468416309.

Almost surely, 2^{11261844296384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11261844296384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12611074152960).

11261844296384 is an abundant number, since it is smaller than the sum of its proper divisors (13960304009536).

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

11261844296384 is a wasteful number, since it uses less digits than its factorization.

11261844296384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47038 (or 47028 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 59.

The spelling of 11261844296384 in words is "eleven trillion, two hundred sixty-one billion, eight hundred forty-four million, two hundred ninety-six thousand, three hundred eighty-four".