197200094601672 has 24 divisors (see below), whose sum is σ = 534083589546390. Its totient is φ = 65733364867200.

The previous prime is 197200094601659. The next prime is 197200094601773. The reversal of 197200094601672 is 276106490002791.

197200094601672 is a `hidden beast` number, since 1 + 9 + 7 + 20 + 0 + 0 + 9 + 4 + 601 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192236172985476 + 4963921616196 = 13864926^2 + 2227986^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1369445101329 + ... + 1369445101472.

Almost surely, 2^{197200094601672} is an apocalyptic number.

197200094601672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

197200094601672 is an abundant number, since it is smaller than the sum of its proper divisors (336883494944718).

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

197200094601672 is a wasteful number, since it uses less digits than its factorization.

197200094601672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738890202813 (or 2738890202806 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 197200094601672 in words is "one hundred ninety-seven trillion, two hundred billion, ninety-four million, six hundred one thousand, six hundred seventy-two".