157165466481 has 21 divisors (see below), whose sum is σ = 235656454089. Its totient is φ = 104769841716.

The previous prime is 157165466453. The next prime is 157165466509. The reversal of 157165466481 is 184664561751.

The square root of 157165466481 is 396441.

It is a perfect power (a square), and thus also a powerful number.

157165466481 is a `hidden beast` number, since 1 + 5 + 7 + 16 + 546 + 6 + 4 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (157165466453) and next prime (157165466509).

It is not a de Polignac number, because 157165466481 - 2²¹ = 157163369329 is a prime.

It is a super-2 number, since 2×157165466481² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (157165466431) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10696566 + ... + 10711248.

It is an arithmetic number, because the mean of its divisors is an integer number (11221735909).

Almost surely, 2^157165466481 is an apocalyptic number.

157165466481 is the 396441-st square number.

157165466481 is the 198221-st centered octagonal number.

It is an amenable number.

157165466481 is a deficient number, since it is larger than the sum of its proper divisors (78490987608).

157165466481 is an frugal number, since it uses more digits than its factorization.

157165466481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29384 (or 14686 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 157165466481 in words is "one hundred fifty-seven billion, one hundred sixty-five million, four hundred sixty-six thousand, four hundred eighty-one".