36870349833216 has 297 divisors, whose sum is σ = 112394287484661. Its totient is φ = 11639770841088.

The previous prime is 36870349833209. The next prime is 36870349833227. The reversal of 36870349833216 is 61233894307863.

The square root of 36870349833216 is 6072096.

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

36870349833216 is a `hidden beast` number, since 3 + 6 + 8 + 70 + 349 + 8 + 3 + 3 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14379992073216 + 22490357760000 = 3792096^2 + 4742400^2 .

It is a super-2 number, since 2×36870349833216² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11075501440 + ... + 11075504768.

Almost surely, 2^{36870349833216} is an apocalyptic number.

36870349833216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36870349833216 is the 6072096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36870349833216

36870349833216 is an abundant number, since it is smaller than the sum of its proper divisors (75523937651445).

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

36870349833216 is an frugal number, since it uses more digits than its factorization.

36870349833216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 36870349833216 in words is "thirty-six trillion, eight hundred seventy billion, three hundred forty-nine million, eight hundred thirty-three thousand, two hundred sixteen".