189131424768 has 352 divisors, whose sum is σ = 658051873920. Its totient is φ = 52902789120.

The previous prime is 189131424767. The next prime is 189131424787. The reversal of 189131424768 is 867424131981.

189131424768 is a `hidden beast` number, since 1 + 89 + 1 + 314 + 247 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is not an unprimeable number, because it can be changed into a prime (189131424767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3929746 + ... + 3977582.

Almost surely, 2^189131424768 is an apocalyptic number.

189131424768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189131424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329025936960).

189131424768 is an abundant number, since it is smaller than the sum of its proper divisors (468920449152).

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

189131424768 is a wasteful number, since it uses less digits than its factorization.

189131424768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47890 (or 47866 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 189131424768 in words is "one hundred eighty-nine billion, one hundred thirty-one million, four hundred twenty-four thousand, seven hundred sixty-eight".