13763201675568 has 80 divisors (see below), whose sum is σ = 36536792209920. Its totient is φ = 4461184988928.

The previous prime is 13763201675567. The next prime is 13763201675593. The reversal of 13763201675568 is 86557610236731.

13763201675568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13763201675567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 884713 + ... + 5320631.

It is an arithmetic number, because the mean of its divisors is an integer number (456709902624).

Almost surely, 2^{13763201675568} 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 13763201675568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18268396104960).

13763201675568 is an abundant number, since it is smaller than the sum of its proper divisors (22773590534352).

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

13763201675568 is a wasteful number, since it uses less digits than its factorization.

13763201675568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437714 (or 4437708 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 13763201675568 in words is "thirteen trillion, seven hundred sixty-three billion, two hundred one million, six hundred seventy-five thousand, five hundred sixty-eight".