13097166939648 has 720 divisors, whose sum is σ = 43535864932560. Its totient is φ = 3927484661760.

The previous prime is 13097166939643. The next prime is 13097166939653. The reversal of 13097166939648 is 84693966179031.

13097166939648 is a `hidden beast` number, since 1 + 30 + 9 + 7 + 166 + 9 + 396 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (13097166939643) and next prime (13097166939653).

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 (13097166939641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1460266108 + ... + 1460275076.

It is an arithmetic number, because the mean of its divisors is an integer number (60466479073).

Almost surely, 2^{13097166939648} is an apocalyptic number.

13097166939648 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 13097166939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21767932466280).

13097166939648 is an abundant number, since it is smaller than the sum of its proper divisors (30438697992912).

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

13097166939648 is an frugal number, since it uses more digits than its factorization.

13097166939648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9121 (or 9082 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 13097166939648 in words is "thirteen trillion, ninety-seven billion, one hundred sixty-six million, nine hundred thirty-nine thousand, six hundred forty-eight".