13449603847680 has 3840 divisors, whose sum is σ = 67977534873600. Its totient is φ = 2440862760960.

The previous prime is 13449603847657. The next prime is 13449603847703. The reversal of 13449603847680 is 8674830694431.

It is a happy number.

13449603847680 is a `hidden beast` number, since 1 + 3 + 4 + 496 + 0 + 3 + 84 + 7 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13449603847657) and next prime (13449603847703).

It is a tau number, because it is divible by the number of its divisors (3840).

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17089712247 + ... + 17089713033.

It is an arithmetic number, because the mean of its divisors is an integer number (17702483040).

Almost surely, 2^{13449603847680} is an apocalyptic number.

13449603847680 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 13449603847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33988767436800).

13449603847680 is an abundant number, since it is smaller than the sum of its proper divisors (54527931025920).

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

13449603847680 is a wasteful number, since it uses less digits than its factorization.

13449603847680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 13449603847680 in words is "thirteen trillion, four hundred forty-nine billion, six hundred three million, eight hundred forty-seven thousand, six hundred eighty".