162499240655361 has 45 divisors (see below), whose sum is σ = 245871119566611. Its totient is φ = 106955559655776.

The previous prime is 162499240655321. The next prime is 162499240655387. The reversal of 162499240655361 is 163556042994261.

The square root of 162499240655361 is 12747519.

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

162499240655361 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 9 + 92 + 4 + 0 + 6 + 5 + 536 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89704216655361 + 72795024000000 = 9471231^2 + 8532000^2 .

It is not a de Polignac number, because 162499240655361 - 2¹⁷ = 162499240524289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (162499240655321) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 9063477045 + ... + 9063494973.

Almost surely, 2^{162499240655361} is an apocalyptic number.

162499240655361 is the 12747519-th square number.

162499240655361 is the 6373760-th centered octagonal number.

It is an amenable number.

162499240655361 is a deficient number, since it is larger than the sum of its proper divisors (83371878911250).

162499240655361 is an frugal number, since it uses more digits than its factorization.

162499240655361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36028 (or 18011 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 162499240655361 in words is "one hundred sixty-two trillion, four hundred ninety-nine billion, two hundred forty million, six hundred fifty-five thousand, three hundred sixty-one".