36823682335504 has 135 divisors (see below), whose sum is σ = 76315501840543. Its totient is φ = 17209368487936.

The previous prime is 36823682335493. The next prime is 36823682335547. The reversal of 36823682335504 is 40553328632863.

It is a happy number.

The square root of 36823682335504 is 6068252.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18590777104 + 36805091558400 = 136348^2 + 6066720^2 .

It is a super-2 number, since 2×36823682335504² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 96145384497 + ... + 96145384879.

Almost surely, 2^{36823682335504} is an apocalyptic number.

36823682335504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

36823682335504 is the 6068252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36823682335504

36823682335504 is an abundant number, since it is smaller than the sum of its proper divisors (39491819505039).

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

36823682335504 is an frugal number, since it uses more digits than its factorization.

36823682335504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 58.

The spelling of 36823682335504 in words is "thirty-six trillion, eight hundred twenty-three billion, six hundred eighty-two million, three hundred thirty-five thousand, five hundred four".