13647010097664 has 200 divisors, whose sum is σ = 40795190542260. Its totient is φ = 4542028038144.

The previous prime is 13647010097659. The next prime is 13647010097681. The reversal of 13647010097664 is 46679001074631.

13647010097664 is a `hidden beast` number, since 1 + 3 + 6 + 470 + 100 + 9 + 7 + 6 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10614564000000 + 3032446097664 = 3258000^2 + 1741392^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 13647010097664.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26829252 + ... + 27333180.

Almost surely, 2^{13647010097664} 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 13647010097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20397595271130).

13647010097664 is an abundant number, since it is smaller than the sum of its proper divisors (27148180444596).

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

13647010097664 is an frugal number, since it uses more digits than its factorization.

13647010097664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504612 (or 504587 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 13647010097664 in words is "thirteen trillion, six hundred forty-seven billion, ten million, ninety-seven thousand, six hundred sixty-four".