13449960576 has 768 divisors, whose sum is σ = 47405030400. Its totient is φ = 3762339840.

The previous prime is 13449960569. The next prime is 13449960593. The reversal of 13449960576 is 67506994431.

13449960576 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 9 + 9 + 60 + 576 = 666.

It is a super-3 number, since 3×13449960576³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363512430 + ... + 363512466.

It is an arithmetic number, because the mean of its divisors is an integer number (61725300).

Almost surely, 2^13449960576 is an apocalyptic number.

13449960576 is a gapful number since it is divisible by the number (16) 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 13449960576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23702515200).

13449960576 is an abundant number, since it is smaller than the sum of its proper divisors (33955069824).

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

13449960576 is a wasteful number, since it uses less digits than its factorization.

13449960576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13449960576 in words is "thirteen billion, four hundred forty-nine million, nine hundred sixty thousand, five hundred seventy-six".