85126231696 has 135 divisors (see below), whose sum is σ = 191882486313. Its totient is φ = 36552193920.

The previous prime is 85126231691. The next prime is 85126231709. The reversal of 85126231696 is 69613262158.

The square root of 85126231696 is 291764.

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., 62482001296 + 22644230400 = 249964^2 + 150480^2 .

It is a super-2 number, since 2×85126231696² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85126231691) 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, 243914530 + ... + 243914878.

Almost surely, 2^85126231696 is an apocalyptic number.

85126231696 is the 291764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85126231696

85126231696 is an abundant number, since it is smaller than the sum of its proper divisors (106756254617).

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

85126231696 is a wasteful number, since it uses less digits than its factorization.

85126231696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 381 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

Multiplying 85126231696 by its sum of digits (49), we get a square (4171185353104 = 2042348²).

The spelling of 85126231696 in words is "eighty-five billion, one hundred twenty-six million, two hundred thirty-one thousand, six hundred ninety-six".