85034561949 has 24 divisors (see below), whose sum is σ = 124880063672. Its totient is φ = 55747077120.

The previous prime is 85034561947. The next prime is 85034561957. The reversal of 85034561949 is 94916543058.

85034561949 is a `hidden beast` number, since 8 + 5 + 0 + 34 + 561 + 9 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31243037049 + 53791524900 = 176757^2 + 231930^2 .

It is not a de Polignac number, because 85034561949 - 2¹ = 85034561947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85034561895 and 85034561904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85034561947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29379 + ... + 413439.

Almost surely, 2^85034561949 is an apocalyptic number.

It is an amenable number.

85034561949 is a deficient number, since it is larger than the sum of its proper divisors (39845501723).

85034561949 is a wasteful number, since it uses less digits than its factorization.

85034561949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384477 (or 384474 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 85034561949 in words is "eighty-five billion, thirty-four million, five hundred sixty-one thousand, nine hundred forty-nine".