189998646228000 has 1152 divisors, whose sum is σ = 705438807091200. Its totient is φ = 48372747264000.

The previous prime is 189998646227983. The next prime is 189998646228037. The reversal of 189998646228000 is 822646899981.

189998646228000 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 9 + 86 + 462 + 2 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 189998646228000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113839811166 + ... + 113839812834.

It is an arithmetic number, because the mean of its divisors is an integer number (612360075600).

Almost surely, 2^{189998646228000} is an apocalyptic number.

189998646228000 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 189998646228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352719403545600).

189998646228000 is an abundant number, since it is smaller than the sum of its proper divisors (515440160863200).

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

189998646228000 is a wasteful number, since it uses less digits than its factorization.

189998646228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 189998646228000 in words is "one hundred eighty-nine trillion, nine hundred ninety-eight billion, six hundred forty-six million, two hundred twenty-eight thousand".