13097918363904 has 2304 divisors, whose sum is σ = 49780459008000. Its totient is φ = 3342815723520.

The previous prime is 13097918363891. The next prime is 13097918364007. The reversal of 13097918363904 is 40936381979031.

13097918363904 is a `hidden beast` number, since 1 + 309 + 7 + 9 + 183 + 63 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37746162259 + ... + 37746162605.

It is an arithmetic number, because the mean of its divisors is an integer number (21606102000).

Almost surely, 2^{13097918363904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13097918363904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24890229504000).

13097918363904 is an abundant number, since it is smaller than the sum of its proper divisors (36682540644096).

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

13097918363904 is a wasteful number, since it uses less digits than its factorization.

13097918363904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 13097918363904 in words is "thirteen trillion, ninety-seven billion, nine hundred eighteen million, three hundred sixty-three thousand, nine hundred four".