13448949212160 has 2816 divisors, whose sum is σ = 62753041612800. Its totient is φ = 2649961267200.

The previous prime is 13448949212159. The next prime is 13448949212239. The reversal of 13448949212160 is 6121294984431.

13448949212160 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 89 + 492 + 12 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×13448949212160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13448949212097 and 13448949212106.

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 255 ways as a sum of consecutive naturals, for example, 17488880256 + ... + 17488881024.

It is an arithmetic number, because the mean of its divisors is an integer number (22284460800).

Almost surely, 2^{13448949212160} is an apocalyptic number.

13448949212160 is a gapful number since it is divisible by the number (10) 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 13448949212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31376520806400).

13448949212160 is an abundant number, since it is smaller than the sum of its proper divisors (49304092400640).

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

13448949212160 is a wasteful number, since it uses less digits than its factorization.

13448949212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 13448949212160 in words is "thirteen trillion, four hundred forty-eight billion, nine hundred forty-nine million, two hundred twelve thousand, one hundred sixty".