85565312023104 has 189 divisors, whose sum is σ = 253444646018889. Its totient is φ = 27599493519360.

The previous prime is 85565312023099. The next prime is 85565312023109. The reversal of 85565312023104 is 40132021356558.

It is a happy number.

The square root of 85565312023104 is 9250152.

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

85565312023104 is a `hidden beast` number, since 8 + 5 + 5 + 6 + 531 + 2 + 0 + 2 + 3 + 104 = 666.

85565312023104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (85565312023099) and next prime (85565312023109).

It can be written as a sum of positive squares in only one way, i.e., 11184208718400 + 74381103304704 = 3344280^2 + 8624448^2 .

It is a super-2 number, since 2×85565312023104² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85565312023104.

It is not an unprimeable number, because it can be changed into a prime (85565312023109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6882106872 + ... + 6882119304.

Almost surely, 2^{85565312023104} is an apocalyptic number.

85565312023104 is the 9250152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85565312023104

85565312023104 is an abundant number, since it is smaller than the sum of its proper divisors (167879333995785).

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

85565312023104 is an frugal number, since it uses more digits than its factorization.

85565312023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24946 (or 12469 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 85565312023104 in words is "eighty-five trillion, five hundred sixty-five billion, three hundred twelve million, twenty-three thousand, one hundred four".