198878362675776 has 567 divisors, whose sum is σ = 688809240180009. Its totient is φ = 56804112594432.

The previous prime is 198878362675717. The next prime is 198878362675777. The reversal of 198878362675776 is 677576263878891.

The square root of 198878362675776 is 14102424.

It is a perfect power (a square), and thus also a powerful number.

198878362675776 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 7 + 8 + 3 + 6 + 26 + 7 + 577 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35255378765376 + 163622983910400 = 5937624^2 + 12791520^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is not an unprimeable number, because it can be changed into a prime (198878362675777) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63968593710 + ... + 63968596818.

Almost surely, 2^{198878362675776} is an apocalyptic number.

198878362675776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

198878362675776 is the 14102424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198878362675776

198878362675776 is an abundant number, since it is smaller than the sum of its proper divisors (489930877504233).

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

198878362675776 is an frugal number, since it uses more digits than its factorization.

198878362675776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268 (or 3121 counting only the distinct ones).

The product of its digits is 71693475840, while the sum is 90.

The spelling of 198878362675776 in words is "one hundred ninety-eight trillion, eight hundred seventy-eight billion, three hundred sixty-two million, six hundred seventy-five thousand, seven hundred seventy-six".