189878784956568 has 448 divisors, whose sum is σ = 568983569616000. Its totient is φ = 59204942267904.

The previous prime is 189878784956521. The next prime is 189878784956569. The reversal of 189878784956568 is 865659487878981.

189878784956568 is a `hidden beast` number, since 18 + 98 + 7 + 8 + 7 + 8 + 495 + 6 + 5 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189878784956569) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 19212661755 + ... + 19212671637.

It is an arithmetic number, because the mean of its divisors is an integer number (1270052610750).

Almost surely, 2^{189878784956568} is an apocalyptic number.

189878784956568 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 189878784956568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284491784808000).

189878784956568 is an abundant number, since it is smaller than the sum of its proper divisors (379104784659432).

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

189878784956568 is a wasteful number, since it uses less digits than its factorization.

189878784956568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12098 (or 12079 counting only the distinct ones).

The product of its digits is 468202291200, while the sum is 99.

The spelling of 189878784956568 in words is "one hundred eighty-nine trillion, eight hundred seventy-eight billion, seven hundred eighty-four million, nine hundred fifty-six thousand, five hundred sixty-eight".