188865040311948 has 384 divisors, whose sum is σ = 626546842951680. Its totient is φ = 42615087943680.

The previous prime is 188865040311919. The next prime is 188865040311949. The reversal of 188865040311948 is 849113040568881.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (188865040311949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3006464083 + ... + 3006526901.

It is an arithmetic number, because the mean of its divisors is an integer number (1631632403520).

Almost surely, 2^{188865040311948} 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 188865040311948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313273421475840).

188865040311948 is an abundant number, since it is smaller than the sum of its proper divisors (437681802639732).

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

188865040311948 is a wasteful number, since it uses less digits than its factorization.

188865040311948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77597 (or 77595 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 66.

The spelling of 188865040311948 in words is "one hundred eighty-eight trillion, eight hundred sixty-five billion, forty million, three hundred eleven thousand, nine hundred forty-eight".