12833018978304 has 672 divisors, whose sum is σ = 42280580594880. Its totient is φ = 3440023437312.

The previous prime is 12833018978267. The next prime is 12833018978333. The reversal of 12833018978304 is 40387981033821.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8127306987 + ... + 8127308565.

Almost surely, 2^{12833018978304} is an apocalyptic number.

12833018978304 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 12833018978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21140290297440).

12833018978304 is an abundant number, since it is smaller than the sum of its proper divisors (29447561616576).

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

12833018978304 is a wasteful number, since it uses less digits than its factorization.

12833018978304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 12833018978304 in words is "twelve trillion, eight hundred thirty-three billion, eighteen million, nine hundred seventy-eight thousand, three hundred four".