13630545105516 has 144 divisors (see below), whose sum is σ = 37490629333248. Its totient is φ = 4321958731200.

The previous prime is 13630545105439. The next prime is 13630545105517. The reversal of 13630545105516 is 61550154503631.

13630545105516 is a `hidden beast` number, since 1 + 3 + 6 + 30 + 54 + 5 + 10 + 551 + 6 = 666.

13630545105516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13630545105516³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13630545105517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2362171 + ... + 5730701.

It is an arithmetic number, because the mean of its divisors is an integer number (260351592592).

Almost surely, 2^{13630545105516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13630545105516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745314666624).

13630545105516 is an abundant number, since it is smaller than the sum of its proper divisors (23860084227732).

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

13630545105516 is a wasteful number, since it uses less digits than its factorization.

13630545105516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368754 (or 3368740 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 13630545105516 in words is "thirteen trillion, six hundred thirty billion, five hundred forty-five million, one hundred five thousand, five hundred sixteen".