85663465767936 has 495 divisors, whose sum is σ = 297637235031807. Its totient is φ = 24469944791040.

The previous prime is 85663465767917. The next prime is 85663465767937. The reversal of 85663465767936 is 63976756436658.

The square root of 85663465767936 is 9255456.

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

85663465767936 is a `hidden beast` number, since 8 + 5 + 6 + 6 + 3 + 4 + 6 + 576 + 7 + 9 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (85663465767937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18658997001 + ... + 18659001591.

Almost surely, 2^{85663465767936} is an apocalyptic number.

85663465767936 is the 9255456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85663465767936

85663465767936 is an abundant number, since it is smaller than the sum of its proper divisors (211973769263871).

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

85663465767936 is an frugal number, since it uses more digits than its factorization.

85663465767936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9228 (or 4603 counting only the distinct ones).

The product of its digits is 24690355200, while the sum is 81.

85663465767936 divided by its sum of digits (81) gives a square (1057573651456 = 1028384²).

The spelling of 85663465767936 in words is "eighty-five trillion, six hundred sixty-three billion, four hundred sixty-five million, seven hundred sixty-seven thousand, nine hundred thirty-six".