198178155165312 has 384 divisors, whose sum is σ = 690139019232000. Its totient is φ = 53287405977600.

The previous prime is 198178155165281. The next prime is 198178155165323. The reversal of 198178155165312 is 213561551871891.

198178155165312 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 7 + 8 + 1 + 551 + 65 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 198178155165312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1994717814 + ... + 1994817162.

It is an arithmetic number, because the mean of its divisors is an integer number (1797237029250).

Almost surely, 2^{198178155165312} is an apocalyptic number.

198178155165312 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 198178155165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345069509616000).

198178155165312 is an abundant number, since it is smaller than the sum of its proper divisors (491960864066688).

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

198178155165312 is a wasteful number, since it uses less digits than its factorization.

198178155165312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113944 (or 113929 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 63.

The spelling of 198178155165312 in words is "one hundred ninety-eight trillion, one hundred seventy-eight billion, one hundred fifty-five million, one hundred sixty-five thousand, three hundred twelve".