189245948611104 has 432 divisors, whose sum is σ = 676425411305280. Its totient is φ = 49127202432000.

The previous prime is 189245948611087. The next prime is 189245948611117. The reversal of 189245948611104 is 401116849542981.

189245948611104 is a `hidden beast` number, since 1 + 8 + 9 + 2 + 4 + 5 + 9 + 4 + 8 + 611 + 1 + 0 + 4 = 666.

189245948611104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 436184679 + ... + 436618329.

Almost surely, 2^{189245948611104} is an apocalyptic number.

189245948611104 is a gapful number since it is divisible by the number (14) 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 189245948611104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338212705652640).

189245948611104 is an abundant number, since it is smaller than the sum of its proper divisors (487179462694176).

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

189245948611104 is a wasteful number, since it uses less digits than its factorization.

189245948611104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435485 (or 435463 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 189245948611104 in words is "one hundred eighty-nine trillion, two hundred forty-five billion, nine hundred forty-eight million, six hundred eleven thousand, one hundred four".