85974137906176 has 297 divisors, whose sum is σ = 192566353539033. Its totient is φ = 38346951352320.

The previous prime is 85974137906171. The next prime is 85974137906213. The reversal of 85974137906176 is 67160973147958.

The square root of 85974137906176 is 9272224.

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

It can be written as a sum of positive squares in only one way, i.e., 12718067737600 + 73256070168576 = 3566240^2 + 8558976^2 .

It is a super-2 number, since 2×85974137906176² (a number of 29 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 = 85974137906099 and 85974137906108.

It is not an unprimeable number, because it can be changed into a prime (85974137906171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119574600345 + ... + 119574601063.

Almost surely, 2^{85974137906176} is an apocalyptic number.

85974137906176 is the 9272224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85974137906176

85974137906176 is an abundant number, since it is smaller than the sum of its proper divisors (106592215632857).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85974137906176 is an frugal number, since it uses more digits than its factorization.

85974137906176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 73.

The spelling of 85974137906176 in words is "eighty-five trillion, nine hundred seventy-four billion, one hundred thirty-seven million, nine hundred six thousand, one hundred seventy-six".