12337733856 has 96 divisors (see below), whose sum is σ = 37068772608. Its totient is φ = 3519774720.

The previous prime is 12337733831. The next prime is 12337733887. The reversal of 12337733856 is 65833773321.

12337733856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445536 + ... + 472416.

It is an arithmetic number, because the mean of its divisors is an integer number (386133048).

Almost surely, 2^12337733856 is an apocalyptic number.

12337733856 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 12337733856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18534386304).

12337733856 is an abundant number, since it is smaller than the sum of its proper divisors (24731038752).

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

12337733856 is a wasteful number, since it uses less digits than its factorization.

12337733856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27584 (or 27576 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 48.

The spelling of 12337733856 in words is "twelve billion, three hundred thirty-seven million, seven hundred thirty-three thousand, eight hundred fifty-six".