13097926395648 has 360 divisors, whose sum is σ = 39284790819120. Its totient is φ = 4340432977920.

The previous prime is 13097926395643. The next prime is 13097926395691. The reversal of 13097926395648 is 84659362979031.

13097926395648 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 7 + 9 + 26 + 39 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13097926395643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2906127411 + ... + 2906131917.

It is an arithmetic number, because the mean of its divisors is an integer number (109124418942).

It is a 1-persistent number, because it is pandigital, but 2⋅13097926395648 = 26195852791296 is not.

Almost surely, 2^{13097926395648} is an apocalyptic number.

13097926395648 is a gapful number since it is divisible by the number (18) 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 13097926395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19642395409560).

13097926395648 is an abundant number, since it is smaller than the sum of its proper divisors (26186864423472).

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

13097926395648 is an equidigital number, since it uses as much as digits as its factorization.

13097926395648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 13097926395648 in words is "thirteen trillion, ninety-seven billion, nine hundred twenty-six million, three hundred ninety-five thousand, six hundred forty-eight".