13444206048 has 864 divisors, whose sum is σ = 52422552000. Its totient is φ = 3243276288.

The previous prime is 13444206047. The next prime is 13444206071. The reversal of 13444206048 is 84060244431.

13444206048 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 42 + 0 + 604 + 8 = 666.

It is a super-2 number, since 2×13444206048² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444206047) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 463593298 + ... + 463593326.

It is an arithmetic number, because the mean of its divisors is an integer number (60674250).

Almost surely, 2^13444206048 is an apocalyptic number.

13444206048 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 13444206048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26211276000).

13444206048 is an abundant number, since it is smaller than the sum of its proper divisors (38978345952).

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

13444206048 is a wasteful number, since it uses less digits than its factorization.

13444206048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 13444206048 in words is "thirteen billion, four hundred forty-four million, two hundred six thousand, forty-eight".