197132663952 has 400 divisors, whose sum is σ = 712713526272. Its totient is φ = 51299205120.

The previous prime is 197132663941. The next prime is 197132663999. The reversal of 197132663952 is 259366231791.

197132663952 is a `hidden beast` number, since 197 + 1 + 3 + 2 + 66 + 395 + 2 = 666.

It is a super-2 number, since 2×197132663952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4760328 + ... + 4801560.

Almost surely, 2^197132663952 is an apocalyptic number.

197132663952 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 197132663952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356356763136).

197132663952 is an abundant number, since it is smaller than the sum of its proper divisors (515580862320).

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

197132663952 is a wasteful number, since it uses less digits than its factorization.

197132663952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41308 (or 41293 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 197132663952 in words is "one hundred ninety-seven billion, one hundred thirty-two million, six hundred sixty-three thousand, nine hundred fifty-two".