85156556374449 has 96 divisors (see below), whose sum is σ = 157516315770240. Its totient is φ = 45171106735104.

The previous prime is 85156556374399. The next prime is 85156556374453. The reversal of 85156556374449 is 94447365565158.

85156556374449 is a `hidden beast` number, since 8 + 5 + 1 + 5 + 6 + 55 + 63 + 74 + 449 = 666.

It is not a de Polignac number, because 85156556374449 - 2¹³ = 85156556366257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85156556374849) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24291379 + ... + 27575064.

It is an arithmetic number, because the mean of its divisors is an integer number (1640794955940).

Almost surely, 2^{85156556374449} is an apocalyptic number.

It is an amenable number.

85156556374449 is a deficient number, since it is larger than the sum of its proper divisors (72359759395791).

85156556374449 is a wasteful number, since it uses less digits than its factorization.

85156556374449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51866556 (or 51866543 counting only the distinct ones).

The product of its digits is 2177280000, while the sum is 72.

The spelling of 85156556374449 in words is "eighty-five trillion, one hundred fifty-six billion, five hundred fifty-six million, three hundred seventy-four thousand, four hundred forty-nine".