13330820739456 has 192 divisors, whose sum is σ = 42125319325440. Its totient is φ = 4012889472000.

The previous prime is 13330820739451. The next prime is 13330820739479. The reversal of 13330820739456 is 65493702803331.

13330820739456 is a `hidden beast` number, since 13 + 3 + 30 + 8 + 207 + 394 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330820739451) 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, 1569940 + ... + 5396883.

It is an arithmetic number, because the mean of its divisors is an integer number (219402704820).

It is a 1-persistent number, because it is pandigital, but 2⋅13330820739456 = 26661641478912 is not.

Almost surely, 2^{13330820739456} is an apocalyptic number.

13330820739456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13330820739456 is an abundant number, since it is smaller than the sum of its proper divisors (28794498585984).

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

13330820739456 is a wasteful number, since it uses less digits than its factorization.

13330820739456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967005 (or 6966990 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 13330820739456 in words is "thirteen trillion, three hundred thirty billion, eight hundred twenty million, seven hundred thirty-nine thousand, four hundred fifty-six".