197164157514048 has 280 divisors, whose sum is σ = 616426023127200. Its totient is φ = 62140026811392.

The previous prime is 197164157514043. The next prime is 197164157514073. The reversal of 197164157514048 is 840415751461791.

197164157514048 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 6 + 4 + 1 + 575 + 14 + 0 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197164157514043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48168111 + ... + 52100817.

Almost surely, 2^{197164157514048} is an apocalyptic number.

197164157514048 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 197164157514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308213011563600).

197164157514048 is an abundant number, since it is smaller than the sum of its proper divisors (419261865613152).

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

197164157514048 is a wasteful number, since it uses less digits than its factorization.

197164157514048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933259 (or 3933240 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 197164157514048 in words is "one hundred ninety-seven trillion, one hundred sixty-four billion, one hundred fifty-seven million, five hundred fourteen thousand, forty-eight".