189291812640 has 384 divisors, whose sum is σ = 687724369920. Its totient is φ = 42870374400.

The previous prime is 189291812623. The next prime is 189291812641. The reversal of 189291812640 is 46218192981.

189291812640 is digitally balanced in base 3, 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 (189291812641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295306720 + ... + 295307360.

It is an arithmetic number, because the mean of its divisors is an integer number (1790948880).

Almost surely, 2^189291812640 is an apocalyptic number.

189291812640 is a gapful number since it is divisible by the number (10) 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 189291812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343862184960).

189291812640 is an abundant number, since it is smaller than the sum of its proper divisors (498432557280).

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

189291812640 is a wasteful number, since it uses less digits than its factorization.

189291812640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 189291812640 in words is "one hundred eighty-nine billion, two hundred ninety-one million, eight hundred twelve thousand, six hundred forty".