13163159291904 has 288 divisors, whose sum is σ = 38246945536800. Its totient is φ = 4361320857600.

The previous prime is 13163159291897. The next prime is 13163159291923. The reversal of 13163159291904 is 40919295136131.

13163159291904 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 31 + 592 + 9 + 19 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13163159291904² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2830175979 + ... + 2830180629.

It is an arithmetic number, because the mean of its divisors is an integer number (132801894225).

Almost surely, 2^{13163159291904} 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 13163159291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123472768400).

13163159291904 is an abundant number, since it is smaller than the sum of its proper divisors (25083786244896).

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

13163159291904 is a wasteful number, since it uses less digits than its factorization.

13163159291904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 13163159291904 in words is "thirteen trillion, one hundred sixty-three billion, one hundred fifty-nine million, two hundred ninety-one thousand, nine hundred four".