189895228740288 has 336 divisors, whose sum is σ = 587819966872320. Its totient is φ = 58431704905728.

The previous prime is 189895228740271. The next prime is 189895228740323. The reversal of 189895228740288 is 882047822598981.

189895228740288 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 9 + 52 + 2 + 87 + 402 + 88 = 666.

189895228740288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846262795 + ... + 846487157.

It is an arithmetic number, because the mean of its divisors is an integer number (1749464187120).

Almost surely, 2^{189895228740288} is an apocalyptic number.

189895228740288 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 189895228740288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293909983436160).

189895228740288 is an abundant number, since it is smaller than the sum of its proper divisors (397924738132032).

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

189895228740288 is a wasteful number, since it uses less digits than its factorization.

189895228740288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226636 (or 226623 counting only the distinct ones).

The product of its (nonzero) digits is 2972712960, while the sum is 81.

The spelling of 189895228740288 in words is "one hundred eighty-nine trillion, eight hundred ninety-five billion, two hundred twenty-eight million, seven hundred forty thousand, two hundred eighty-eight".