36827145216 has 99 divisors (see below), whose sum is σ = 106390804611. Its totient is φ = 12269574144.

The previous prime is 36827145149. The next prime is 36827145233. The reversal of 36827145216 is 61254172863.

The square root of 36827145216 is 191904.

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

36827145216 is a `hidden beast` number, since 36 + 82 + 7 + 14 + 521 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18421785 + ... + 18423783.

Almost surely, 2^36827145216 is an apocalyptic number.

36827145216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36827145216 is the 191904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36827145216

36827145216 is an abundant number, since it is smaller than the sum of its proper divisors (69563659395).

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

36827145216 is an frugal number, since it uses more digits than its factorization.

36827145216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 2004 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 36827145216 in words is "thirty-six billion, eight hundred twenty-seven million, one hundred forty-five thousand, two hundred sixteen".