189714563200 has 96 divisors (see below), whose sum is σ = 468776017620. Its totient is φ = 75866112000.

The previous prime is 189714563113. The next prime is 189714563201. The reversal of 189714563200 is 2365417981.

It can be written as a sum of positive squares in 6 ways, for example, as 32917570624 + 156796992576 = 181432^2 + 395976^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (189714563201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24191280 + ... + 24199120.

It is a 1-persistent number, because it is pandigital, but 2⋅189714563200 = 379429126400 is not.

Almost surely, 2^189714563200 is an apocalyptic number.

189714563200 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 189714563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234388008810).

189714563200 is an abundant number, since it is smaller than the sum of its proper divisors (279061454420).

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

189714563200 is an equidigital number, since it uses as much as digits as its factorization.

189714563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15426 (or 15409 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 189714563200 in words is "one hundred eighty-nine billion, seven hundred fourteen million, five hundred sixty-three thousand, two hundred".