189777199104 has 210 divisors, whose sum is σ = 569089719590. Its totient is φ = 63255085056.

The previous prime is 189777199099. The next prime is 189777199147. The reversal of 189777199104 is 401991777981.

It can be written as a sum of positive squares in only one way, i.e., 139314069504 + 50463129600 = 373248^2 + 224640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11935992 + ... + 11951880.

Almost surely, 2^189777199104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189777199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284544859795).

189777199104 is an abundant number, since it is smaller than the sum of its proper divisors (379312520486).

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

189777199104 is an frugal number, since it uses more digits than its factorization.

189777199104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15935 (or 15894 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 63.

The spelling of 189777199104 in words is "one hundred eighty-nine billion, seven hundred seventy-seven million, one hundred ninety-nine thousand, one hundred four".