197785294995456 has 1035 divisors, whose sum is σ = 693753963745689. Its totient is φ = 55991643144192.

The previous prime is 197785294995451. The next prime is 197785294995539. The reversal of 197785294995456 is 654599492587791.

The square root of 197785294995456 is 14063616.

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

197785294995456 is a `hidden beast` number, since 1 + 9 + 7 + 7 + 8 + 5 + 29 + 49 + 95 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137855401721856 + 59929893273600 = 11741184^2 + 7741440^2 .

It is a Smith number, since the sum of its digits (90) coincides with the sum of the digits of its prime factors.

Its product of digits (61725888000) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (197785294995451) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1814543990730 + ... + 1814543990838.

Almost surely, 2^{197785294995456} is an apocalyptic number.

197785294995456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

197785294995456 is the 14063616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197785294995456

197785294995456 is an abundant number, since it is smaller than the sum of its proper divisors (495968668750233).

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

197785294995456 is an frugal number, since it uses more digits than its factorization.

197785294995456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 121 counting only the distinct ones).

The product of its digits is 61725888000, while the sum is 90.

The spelling of 197785294995456 in words is "one hundred ninety-seven trillion, seven hundred eighty-five billion, two hundred ninety-four million, nine hundred ninety-five thousand, four hundred fifty-six".