162766254249 has 45 divisors (see below), whose sum is σ = 254306269063. Its totient is φ = 103739719248.

The previous prime is 162766254247. The next prime is 162766254269. The reversal of 162766254249 is 942452667261.

The square root of 162766254249 is 403443.

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

162766254249 is a `hidden beast` number, since 1 + 6 + 2 + 7 + 6 + 625 + 4 + 2 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131075133849 + 31691120400 = 362043^2 + 178020^2 .

It is not a de Polignac number, because 162766254249 - 2¹ = 162766254247 is a prime.

It is a super-2 number, since 2×162766254249² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 162766254195 and 162766254204.

It is not an unprimeable number, because it can be changed into a prime (162766254247) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 83511727 + ... + 83513675.

Almost surely, 2^162766254249 is an apocalyptic number.

162766254249 is the 403443-rd square number.

162766254249 is the 201722-nd centered octagonal number.

It is an amenable number.

162766254249 is a deficient number, since it is larger than the sum of its proper divisors (91540014814).

162766254249 is an frugal number, since it uses more digits than its factorization.

162766254249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 1975 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 162766254249 in words is "one hundred sixty-two billion, seven hundred sixty-six million, two hundred fifty-four thousand, two hundred forty-nine".