198758923016640 has 672 divisors, whose sum is σ = 779173165592640. Its totient is φ = 42653608574976.

The previous prime is 198758923016611. The next prime is 198758923016671. The reversal of 198758923016640 is 46610329857891.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326765272 + ... + 327372968.

It is an arithmetic number, because the mean of its divisors is an integer number (1159483877370).

It is a 2-persistent number, because it is pandigital, and so is 2⋅198758923016640 = 397517846033280, but 3⋅198758923016640 = 596276769049920 is not.

Almost surely, 2^{198758923016640} is an apocalyptic number.

198758923016640 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 198758923016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389586582796320).

198758923016640 is an abundant number, since it is smaller than the sum of its proper divisors (580414242576000).

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

198758923016640 is a wasteful number, since it uses less digits than its factorization.

198758923016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608157 (or 608140 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 198758923016640 in words is "one hundred ninety-eight trillion, seven hundred fifty-eight billion, nine hundred twenty-three million, sixteen thousand, six hundred forty".