11442353736 has 128 divisors (see below), whose sum is σ = 32892480000. Its totient is φ = 3280527360.

The previous prime is 11442353719. The next prime is 11442353749. The reversal of 11442353736 is 63735324411.

It is a junction number, because it is equal to n+sod(n) for n = 11442353694 and 11442353703.

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 31 ways as a sum of consecutive naturals, for example, 7066735 + ... + 7068353.

It is an arithmetic number, because the mean of its divisors is an integer number (256972500).

Almost surely, 2^11442353736 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 11442353736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16446240000).

11442353736 is an abundant number, since it is smaller than the sum of its proper divisors (21450126264).

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

11442353736 is a wasteful number, since it uses less digits than its factorization.

11442353736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3063 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The spelling of 11442353736 in words is "eleven billion, four hundred forty-two million, three hundred fifty-three thousand, seven hundred thirty-six".