197267084352 has 168 divisors, whose sum is σ = 610031252376. Its totient is φ = 60587311104.

The previous prime is 197267084249. The next prime is 197267084381. The reversal of 197267084352 is 253480762791.

It is a happy number.

197267084352 is a `hidden beast` number, since 197 + 26 + 7 + 0 + 84 + 352 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4454761536 + 192812322816 = 66744^2 + 439104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4147168 + ... + 4194464.

It is an arithmetic number, because the mean of its divisors is an integer number (3631138407).

It is a 1-persistent number, because it is pandigital, but 2⋅197267084352 = 394534168704 is not.

Almost surely, 2^197267084352 is an apocalyptic number.

197267084352 is a gapful number since it is divisible by the number (12) 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 197267084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305015626188).

197267084352 is an abundant number, since it is smaller than the sum of its proper divisors (412764168024).

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

197267084352 is a wasteful number, since it uses less digits than its factorization.

197267084352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47885 (or 47872 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 197267084352 in words is "one hundred ninety-seven billion, two hundred sixty-seven million, eighty-four thousand, three hundred fifty-two".