13449607545600 has 648 divisors, whose sum is σ = 50684160766512. Its totient is φ = 3527741030400.

The previous prime is 13449607545581. The next prime is 13449607545611. The reversal of 13449607545600 is 654570694431.

It is a happy number.

13449607545600 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 9 + 6 + 0 + 75 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94796314 + ... + 94938086.

Almost surely, 2^{13449607545600} is an apocalyptic number.

13449607545600 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 13449607545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25342080383256).

13449607545600 is an abundant number, since it is smaller than the sum of its proper divisors (37234553220912).

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

13449607545600 is an equidigital number, since it uses as much as digits as its factorization.

13449607545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141875 (or 141844 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 13449607545600 in words is "thirteen trillion, four hundred forty-nine billion, six hundred seven million, five hundred forty-five thousand, six hundred".