13799116906848 has 576 divisors, whose sum is σ = 49791077481600. Its totient is φ = 3601776181248.

The previous prime is 13799116906847. The next prime is 13799116906901. The reversal of 13799116906848 is 84860961199731.

13799116906848 is a `hidden beast` number, since 1 + 379 + 91 + 1 + 6 + 90 + 6 + 84 + 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 (13799116906843) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124511236 + ... + 124622012.

It is an arithmetic number, because the mean of its divisors is an integer number (86442842850).

Almost surely, 2^{13799116906848} is an apocalyptic number.

13799116906848 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 13799116906848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24895538740800).

13799116906848 is an abundant number, since it is smaller than the sum of its proper divisors (35991960574752).

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

13799116906848 is a wasteful number, since it uses less digits than its factorization.

13799116906848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110924 (or 110899 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 13799116906848 in words is "thirteen trillion, seven hundred ninety-nine billion, one hundred sixteen million, nine hundred six thousand, eight hundred forty-eight".