197953826144256 has 4320 divisors, whose sum is σ = 822572135763840. Its totient is φ = 46445667287040.

The previous prime is 197953826144209. The next prime is 197953826144297. The reversal of 197953826144256 is 652441628359791.

197953826144256 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 53 + 82 + 6 + 1 + 442 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4603577352171 + ... + 4603577352213.

It is an arithmetic number, because the mean of its divisors is an integer number (190410216612).

Almost surely, 2^{197953826144256} is an apocalyptic number.

197953826144256 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 197953826144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411286067881920).

197953826144256 is an abundant number, since it is smaller than the sum of its proper divisors (624618309619584).

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

197953826144256 is a wasteful number, since it uses less digits than its factorization.

197953826144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 116 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 197953826144256 in words is "one hundred ninety-seven trillion, nine hundred fifty-three billion, eight hundred twenty-six million, one hundred forty-four thousand, two hundred fifty-six".