13195468336128 has 176 divisors, whose sum is σ = 37880343859680. Its totient is φ = 4059697250304.

The previous prime is 13195468336121. The next prime is 13195468336129. The reversal of 13195468336128 is 82163386459131.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13195468336121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708016026 + ... + 708034662.

Almost surely, 2^{13195468336128} 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 13195468336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18940171929840).

13195468336128 is an abundant number, since it is smaller than the sum of its proper divisors (24684875523552).

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

13195468336128 is a wasteful number, since it uses less digits than its factorization.

13195468336128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36402 (or 36384 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 60.

The spelling of 13195468336128 in words is "thirteen trillion, one hundred ninety-five billion, four hundred sixty-eight million, three hundred thirty-six thousand, one hundred twenty-eight".