13449430874880 has 6048 divisors, whose sum is σ = 70470732483648. Its totient is φ = 2427963310080.

The previous prime is 13449430874879. The next prime is 13449430874911. The reversal of 13449430874880 is 8847803494431.

13449430874880 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 9 + 430 + 87 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 671 ways as a sum of consecutive naturals, for example, 791142992632 + ... + 791142992648.

It is an arithmetic number, because the mean of its divisors is an integer number (11651906826).

Almost surely, 2^{13449430874880} is an apocalyptic number.

13449430874880 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 13449430874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35235366241824).

13449430874880 is an abundant number, since it is smaller than the sum of its proper divisors (57021301608768).

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

13449430874880 is an equidigital number, since it uses as much as digits as its factorization.

13449430874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 13449430874880 in words is "thirteen trillion, four hundred forty-nine billion, four hundred thirty million, eight hundred seventy-four thousand, eight hundred eighty".