147216245197257 has 12 divisors (see below), whose sum is σ = 213558329945844. Its totient is φ = 97722943877760.

The previous prime is 147216245197247. The next prime is 147216245197289. The reversal of 147216245197257 is 752791542612741.

147216245197257 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 1 + 62 + 4 + 519 + 7 + 2 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58919195181456 + 88297050015801 = 7675884^2 + 9396651^2 .

It is not a de Polignac number, because 147216245197257 - 2¹⁰ = 147216245196233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 147216245197194 and 147216245197203.

It is not an unprimeable number, because it can be changed into a prime (147216245197247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35101630044 + ... + 35101634237.

It is an arithmetic number, because the mean of its divisors is an integer number (17796527495487).

Almost surely, 2^{147216245197257} is an apocalyptic number.

It is an amenable number.

147216245197257 is a deficient number, since it is larger than the sum of its proper divisors (66342084748587).

147216245197257 is a wasteful number, since it uses less digits than its factorization.

147216245197257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70203264520 (or 70203264517 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 147216245197257 in words is "one hundred forty-seven trillion, two hundred sixteen billion, two hundred forty-five million, one hundred ninety-seven thousand, two hundred fifty-seven".