13742608845600 has 1440 divisors, whose sum is σ = 54939256162560. Its totient is φ = 3330865152000.

The previous prime is 13742608845599. The next prime is 13742608845671. The reversal of 13742608845600 is 654880624731.

It is a happy number.

13742608845600 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 26 + 0 + 8 + 8 + 4 + 5 + 600 = 666.

13742608845600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 3079228969 + ... + 3079233431.

It is an arithmetic number, because the mean of its divisors is an integer number (38152261224).

Almost surely, 2^{13742608845600} is an apocalyptic number.

13742608845600 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 13742608845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27469628081280).

13742608845600 is an abundant number, since it is smaller than the sum of its proper divisors (41196647316960).

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

13742608845600 is a wasteful number, since it uses less digits than its factorization.

13742608845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 13742608845600 in words is "thirteen trillion, seven hundred forty-two billion, six hundred eight million, eight hundred forty-five thousand, six hundred".