11334736644 has 144 divisors (see below), whose sum is σ = 33682775616. Its totient is φ = 2933548800.

The previous prime is 11334736607. The next prime is 11334736649. The reversal of 11334736644 is 44663743311.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a junction number, because it is equal to n+sod(n) for n = 11334736596 and 11334736605.

It is not an unprimeable number, because it can be changed into a prime (11334736649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1892134 + ... + 1898114.

It is an arithmetic number, because the mean of its divisors is an integer number (233908164).

Almost surely, 2^11334736644 is an apocalyptic number.

11334736644 is a gapful number since it is divisible by the number (14) 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 11334736644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841387808).

11334736644 is an abundant number, since it is smaller than the sum of its proper divisors (22348038972).

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

11334736644 is a wasteful number, since it uses less digits than its factorization.

11334736644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6297 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The spelling of 11334736644 in words is "eleven billion, three hundred thirty-four million, seven hundred thirty-six thousand, six hundred forty-four".