198190545385140 has 1152 divisors, whose sum is σ = 824124778444800. Its totient is φ = 38992419809280.

The previous prime is 198190545385067. The next prime is 198190545385177. The reversal of 198190545385140 is 41583545091891.

It is a happy number.

198190545385140 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 9 + 0 + 5 + 4 + 538 + 51 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10545967584 + ... + 10545986376.

It is an arithmetic number, because the mean of its divisors is an integer number (715386092400).

Almost surely, 2^{198190545385140} is an apocalyptic number.

198190545385140 is a gapful number since it is divisible by the number (10) 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 198190545385140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412062389222400).

198190545385140 is an abundant number, since it is smaller than the sum of its proper divisors (625934233059660).

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

198190545385140 is a wasteful number, since it uses less digits than its factorization.

198190545385140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20762 (or 20747 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 63.

The spelling of 198190545385140 in words is "one hundred ninety-eight trillion, one hundred ninety billion, five hundred forty-five million, three hundred eighty-five thousand, one hundred forty".