13844090145600 has 1008 divisors, whose sum is σ = 57869762181504. Its totient is φ = 3094640640000.

The previous prime is 13844090145593. The next prime is 13844090145601. The reversal of 13844090145600 is 654109044831.

13844090145600 is a `hidden beast` number, since 1 + 3 + 8 + 440 + 9 + 0 + 145 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13844090145601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2250702525 + ... + 2250708675.

Almost surely, 2^{13844090145600} is an apocalyptic number.

13844090145600 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 13844090145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28934881090752).

13844090145600 is an abundant number, since it is smaller than the sum of its proper divisors (44025672035904).

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

13844090145600 is a wasteful number, since it uses less digits than its factorization.

13844090145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7296 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13844090145600 in words is "thirteen trillion, eight hundred forty-four billion, ninety million, one hundred forty-five thousand, six hundred".