13330849891968 has 2048 divisors, whose sum is σ = 51059530137600. Its totient is φ = 3377076240384.

The previous prime is 13330849891903. The next prime is 13330849891973. The reversal of 13330849891968 is 86919894803331.

13330849891968 is a `hidden beast` number, since 1 + 33 + 30 + 8 + 498 + 9 + 19 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13330849891896 and 13330849891905.

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, 97305473596 + ... + 97305473732.

It is an arithmetic number, because the mean of its divisors is an integer number (24931411200).

Almost surely, 2^{13330849891968} is an apocalyptic number.

13330849891968 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 13330849891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25529765068800).

13330849891968 is an abundant number, since it is smaller than the sum of its proper divisors (37728680245632).

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

13330849891968 is a wasteful number, since it uses less digits than its factorization.

13330849891968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 13330849891968 in words is "thirteen trillion, three hundred thirty billion, eight hundred forty-nine million, eight hundred ninety-one thousand, nine hundred sixty-eight".