197055063628416 has 288 divisors, whose sum is σ = 659808740927700. Its totient is φ = 56285805477888.

The previous prime is 197055063628373. The next prime is 197055063628447. The reversal of 197055063628416 is 614826360550791.

It is a happy number.

197055063628416 is a `hidden beast` number, since 1 + 9 + 7 + 0 + 5 + 506 + 36 + 2 + 84 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113974755402816 + 83080308225600 = 10675896^2 + 9114840^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203463520 + ... + 204429728.

It is a 2-persistent number, because it is pandigital, and so is 2⋅197055063628416 = 394110127256832, but 3⋅197055063628416 = 591165190885248 is not.

Almost surely, 2^{197055063628416} is an apocalyptic number.

197055063628416 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 197055063628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329904370463850).

197055063628416 is an abundant number, since it is smaller than the sum of its proper divisors (462753677299284).

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

197055063628416 is a wasteful number, since it uses less digits than its factorization.

197055063628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969856 (or 969834 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 197055063628416 in words is "one hundred ninety-seven trillion, fifty-five billion, sixty-three million, six hundred twenty-eight thousand, four hundred sixteen".