85377333636 has 189 divisors, whose sum is σ = 260924126421. Its totient is φ = 24361966944.

The previous prime is 85377333599. The next prime is 85377333637. The reversal of 85377333636 is 63633377358.

The square root of 85377333636 is 292194.

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

85377333636 is a `hidden beast` number, since 8 + 537 + 73 + 3 + 3 + 6 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5433164100 + 79944169536 = 73710^2 + 282744^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85377333637) 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 62 ways as a sum of consecutive naturals, for example, 110448946 + ... + 110449718.

Almost surely, 2^85377333636 is an apocalyptic number.

85377333636 is the 292194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85377333636

85377333636 is an abundant number, since it is smaller than the sum of its proper divisors (175546792785).

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

85377333636 is an frugal number, since it uses more digits than its factorization.

85377333636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 785 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 54.

The spelling of 85377333636 in words is "eighty-five billion, three hundred seventy-seven million, three hundred thirty-three thousand, six hundred thirty-six".