189816948 has 72 divisors (see below), whose sum is σ = 501064200. Its totient is φ = 60512256.

The previous prime is 189816941. The next prime is 189816961. The reversal of 189816948 is 849618981.

It can be written as a sum of positive squares in 4 ways, for example, as 28323684 + 161493264 = 5322^2 + 12708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 189816894 and 189816903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189816941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117168 + ... + 118776.

It is an arithmetic number, because the mean of its divisors is an integer number (6959225).

Almost surely, 2^189816948 is an apocalyptic number.

189816948 is a gapful number since it is divisible by the number (18) 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 189816948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250532100).

189816948 is an abundant number, since it is smaller than the sum of its proper divisors (311247252).

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

189816948 is a wasteful number, since it uses less digits than its factorization.

189816948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1756 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 189816948 is about 13777.4071580976. The cubic root of 189816948 is about 574.7050262727.

The spelling of 189816948 in words is "one hundred eighty-nine million, eight hundred sixteen thousand, nine hundred forty-eight".