13613516605440 has 288 divisors, whose sum is σ = 48929492888640. Its totient is φ = 3630270431232.

The previous prime is 13613516605379. The next prime is 13613516605441. The reversal of 13613516605440 is 4450661531631.

13613516605440 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 35 + 1 + 6 + 605 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (13613516605441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247164 + ... + 5223803.

It is an arithmetic number, because the mean of its divisors is an integer number (169894072530).

Almost surely, 2^{13613516605440} is an apocalyptic number.

13613516605440 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 13613516605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24464746444320).

13613516605440 is an abundant number, since it is smaller than the sum of its proper divisors (35315976283200).

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

13613516605440 is an frugal number, since it uses more digits than its factorization.

13613516605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471009 (or 5470977 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13613516605440 in words is "thirteen trillion, six hundred thirteen billion, five hundred sixteen million, six hundred five thousand, four hundred forty".