85946177164958 has 32 divisors (see below), whose sum is σ = 149507017246080. Its totient is φ = 36643876740000.

The previous prime is 85946177164951. The next prime is 85946177164961.

85946177164958 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85946177164951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017843248 + ... + 1017927683.

It is an arithmetic number, because the mean of its divisors is an integer number (4672094288940).

Almost surely, 2^{85946177164958} is an apocalyptic number.

85946177164958 is a deficient number, since it is larger than the sum of its proper divisors (63560840081122).

85946177164958 is a wasteful number, since it uses less digits than its factorization.

85946177164958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035771064.

The product of its digits is 3657830400, while the sum is 80.

The spelling of 85946177164958 in words is "eighty-five trillion, nine hundred forty-six billion, one hundred seventy-seven million, one hundred sixty-four thousand, nine hundred fifty-eight".