189852848640 has 1920 divisors, whose sum is σ = 878535770112. Its totient is φ = 36787322880.

The previous prime is 189852848639. The next prime is 189852848651. The reversal of 189852848640 is 46848258981.

189852848640 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 528 + 48 + 64 + 0 = 666.

189852848640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 1494904257 + ... + 1494904383.

Almost surely, 2^189852848640 is an apocalyptic number.

189852848640 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 189852848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439267885056).

189852848640 is an abundant number, since it is smaller than the sum of its proper divisors (688682921472).

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

189852848640 is a wasteful number, since it uses less digits than its factorization.

189852848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 189852848640 in words is "one hundred eighty-nine billion, eight hundred fifty-two million, eight hundred forty-eight thousand, six hundred forty".