197516015236072 has 128 divisors (see below), whose sum is σ = 411477242954400. Its totient is φ = 88293556224000.

The previous prime is 197516015236021. The next prime is 197516015236159. The reversal of 197516015236072 is 270632510615791.

It can be written as a sum of positive squares in 16 ways, for example, as 28596761588836 + 168919253647236 = 5347594^2 + 12996894^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1243090072 + ... + 1243248952.

Almost surely, 2^{197516015236072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197516015236072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205738621477200).

197516015236072 is an abundant number, since it is smaller than the sum of its proper divisors (213961227718328).

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

197516015236072 is a wasteful number, since it uses less digits than its factorization.

197516015236072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160407 (or 160403 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 197516015236072 in words is "one hundred ninety-seven trillion, five hundred sixteen billion, fifteen million, two hundred thirty-six thousand, seventy-two".