198372777694416 has 320 divisors, whose sum is σ = 620913858969600. Its totient is φ = 60272119885824.

The previous prime is 198372777694393. The next prime is 198372777694433. The reversal of 198372777694416 is 614496777273891.

198372777694416 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 72 + 7 + 77 + 69 + 4 + 416 = 666.

It is a super-3 number, since 3×198372777694416³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378104625 + ... + 378628911.

It is an arithmetic number, because the mean of its divisors is an integer number (1940355809280).

Almost surely, 2^{198372777694416} is an apocalyptic number.

198372777694416 is a gapful number since it is divisible by the number (16) 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 198372777694416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310456929484800).

198372777694416 is an abundant number, since it is smaller than the sum of its proper divisors (422541081275184).

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

198372777694416 is a wasteful number, since it uses less digits than its factorization.

198372777694416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525163 (or 525151 counting only the distinct ones).

The product of its digits is 5377010688, while the sum is 81.

The spelling of 198372777694416 in words is "one hundred ninety-eight trillion, three hundred seventy-two billion, seven hundred seventy-seven million, six hundred ninety-four thousand, four hundred sixteen".