198248827392 has 480 divisors, whose sum is σ = 732669784704. Its totient is φ = 50098176000.

The previous prime is 198248827339. The next prime is 198248827417. The reversal of 198248827392 is 293728842891.

198248827392 is a `hidden beast` number, since 1 + 9 + 82 + 488 + 2 + 73 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13120642 + ... + 13135742.

Almost surely, 2^198248827392 is an apocalyptic number.

198248827392 is a gapful number since it is divisible by the number (12) 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 198248827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366334892352).

198248827392 is an abundant number, since it is smaller than the sum of its proper divisors (534420957312).

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

198248827392 is a wasteful number, since it uses less digits than its factorization.

198248827392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15180 (or 15161 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 198248827392 in words is "one hundred ninety-eight billion, two hundred forty-eight million, eight hundred twenty-seven thousand, three hundred ninety-two".