198625827371328 has 504 divisors, whose sum is σ = 686724993287424. Its totient is φ = 55819854259200.

The previous prime is 198625827371161. The next prime is 198625827371359. The reversal of 198625827371328 is 823173728526891.

It is a happy number.

198625827371328 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 2 + 582 + 7 + 3 + 7 + 1 + 32 + 8 = 666.

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

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

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, 178745113 + ... + 179852903.

It is an arithmetic number, because the mean of its divisors is an integer number (1362549589856).

Almost surely, 2^{198625827371328} is an apocalyptic number.

198625827371328 is a gapful number since it is divisible by the number (18) 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 198625827371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343362496643712).

198625827371328 is an abundant number, since it is smaller than the sum of its proper divisors (488099165916096).

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

198625827371328 is an frugal number, since it uses more digits than its factorization.

198625827371328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107895 (or 1107864 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 198625827371328 in words is "one hundred ninety-eight trillion, six hundred twenty-five billion, eight hundred twenty-seven million, three hundred seventy-one thousand, three hundred twenty-eight".