85428182961 has 81 divisors (see below), whose sum is σ = 144358776289. Its totient is φ = 48635558400.

The previous prime is 85428182953. The next prime is 85428182989. The reversal of 85428182961 is 16928182458.

The square root of 85428182961 is 292281.

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

85428182961 is a `hidden beast` number, since 8 + 542 + 8 + 1 + 8 + 2 + 96 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 481583025 + 84946599936 = 21945^2 + 291456^2 .

It is not a de Polignac number, because 85428182961 - 2³ = 85428182953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85428182898 and 85428182907.

It is not an unprimeable number, because it can be changed into a prime (85428182921) 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 80 ways as a sum of consecutive naturals, for example, 163969381 + ... + 163969901.

Almost surely, 2^85428182961 is an apocalyptic number.

85428182961 is the 292281-st square number.

85428182961 is the 146141-st centered octagonal number.

It is an amenable number.

85428182961 is a deficient number, since it is larger than the sum of its proper divisors (58930593328).

85428182961 is a wasteful number, since it uses less digits than its factorization.

85428182961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 552 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 85428182961 in words is "eighty-five billion, four hundred twenty-eight million, one hundred eighty-two thousand, nine hundred sixty-one".