198040272192 has 504 divisors, whose sum is σ = 725108739264. Its totient is φ = 53251043328.

The previous prime is 198040272173. The next prime is 198040272203. The reversal of 198040272192 is 291272040891.

198040272192 is a `hidden beast` number, since 1 + 98 + 0 + 402 + 72 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12947173 + ... + 12962459.

It is an arithmetic number, because the mean of its divisors is an integer number (1438707816).

Almost surely, 2^198040272192 is an apocalyptic number.

198040272192 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 198040272192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362554369632).

198040272192 is an abundant number, since it is smaller than the sum of its proper divisors (527068467072).

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

198040272192 is a wasteful number, since it uses less digits than its factorization.

198040272192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15345 (or 15316 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 198040272192 in words is "one hundred ninety-eight billion, forty million, two hundred seventy-two thousand, one hundred ninety-two".