189850348800 has 1728 divisors, whose sum is σ = 844799262720. Its totient is φ = 40808448000.

The previous prime is 189850348789. The next prime is 189850348819. The reversal of 189850348800 is 8843058981.

189850348800 is a `hidden beast` number, since 1 + 8 + 98 + 503 + 48 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×189850348800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 2287353559 + ... + 2287353641.

Almost surely, 2^189850348800 is an apocalyptic number.

189850348800 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 189850348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422399631360).

189850348800 is an abundant number, since it is smaller than the sum of its proper divisors (654948913920).

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

189850348800 is a wasteful number, since it uses less digits than its factorization.

189850348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 189850348800 in words is "one hundred eighty-nine billion, eight hundred fifty million, three hundred forty-eight thousand, eight hundred".