198187531642872 has 640 divisors, whose sum is σ = 599616837388800. Its totient is φ = 61001538048000.

The previous prime is 198187531642871. The next prime is 198187531642873. The reversal of 198187531642872 is 278246135781891.

198187531642872 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 8 + 7 + 531 + 6 + 4 + 2 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (198187531642871) and next prime (198187531642873).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 198187531642872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198187531642871) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 94871962404 + ... + 94871964492.

It is an arithmetic number, because the mean of its divisors is an integer number (936901308420).

Almost surely, 2^{198187531642872} is an apocalyptic number.

198187531642872 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 198187531642872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299808418694400).

198187531642872 is an abundant number, since it is smaller than the sum of its proper divisors (401429305745928).

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

198187531642872 is a wasteful number, since it uses less digits than its factorization.

198187531642872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3716 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 72.

The spelling of 198187531642872 in words is "one hundred ninety-eight trillion, one hundred eighty-seven billion, five hundred thirty-one million, six hundred forty-two thousand, eight hundred seventy-two".