191192242432 has 72 divisors (see below), whose sum is σ = 404346029976. Its totient is φ = 89915129856.

The previous prime is 191192242429. The next prime is 191192242471. The reversal of 191192242432 is 234242291191.

It can be written as a sum of positive squares in 4 ways, for example, as 13526620416 + 177665622016 = 116304^2 + 421504^2 .

It is a super-2 number, since 2×191192242432² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7198008 + ... + 7224520.

It is an arithmetic number, because the mean of its divisors is an integer number (5615917083).

Almost surely, 2^191192242432 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 191192242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202173014988).

191192242432 is an abundant number, since it is smaller than the sum of its proper divisors (213153787544).

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

191192242432 is a wasteful number, since it uses less digits than its factorization.

191192242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28203 (or 28189 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The spelling of 191192242432 in words is "one hundred ninety-one billion, one hundred ninety-two million, two hundred forty-two thousand, four hundred thirty-two".