12838324320 has 144 divisors (see below), whose sum is σ = 46116710640. Its totient is φ = 3243359232.

The previous prime is 12838324277. The next prime is 12838324321. The reversal of 12838324320 is 2342383821.

12838324320 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 8 + 324 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12838324321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207259 + ... + 261978.

It is an arithmetic number, because the mean of its divisors is an integer number (320254935).

Almost surely, 2^12838324320 is an apocalyptic number.

12838324320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12838324320 is an abundant number, since it is smaller than the sum of its proper divisors (33278386320).

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

12838324320 is a wasteful number, since it uses less digits than its factorization.

12838324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469277 (or 469266 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12838324320 in words is "twelve billion, eight hundred thirty-eight million, three hundred twenty-four thousand, three hundred twenty".