18771348535968 has 1152 divisors, whose sum is σ = 63838267637760. Its totient is φ = 4793220956160.

The previous prime is 18771348535957. The next prime is 18771348535969. The reversal of 18771348535968 is 86953584317781.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18771348535968.

It is not an unprimeable number, because it can be changed into a prime (18771348535969) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34316907471 + ... + 34316908017.

It is an arithmetic number, because the mean of its divisors is an integer number (55415162880).

Almost surely, 2^{18771348535968} 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 18771348535968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31919133818880).

18771348535968 is an abundant number, since it is smaller than the sum of its proper divisors (45066919101792).

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

18771348535968 is a wasteful number, since it uses less digits than its factorization.

18771348535968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 843 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 75.

The spelling of 18771348535968 in words is "eighteen trillion, seven hundred seventy-one billion, three hundred forty-eight million, five hundred thirty-five thousand, nine hundred sixty-eight".