36286545340224 has 168 divisors, whose sum is σ = 113319887842880. Its totient is φ = 11384014067712.

The previous prime is 36286545340217. The next prime is 36286545340247. The reversal of 36286545340224 is 42204354568263.

36286545340224 is a `hidden beast` number, since 3 + 6 + 2 + 86 + 5 + 4 + 534 + 0 + 2 + 24 = 666.

It is a super-3 number, since 3×36286545340224³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35831332 + ... + 36830115.

Almost surely, 2^{36286545340224} is an apocalyptic number.

36286545340224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

36286545340224 is an abundant number, since it is smaller than the sum of its proper divisors (77033342502656).

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

36286545340224 is a wasteful number, since it uses less digits than its factorization.

36286545340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72661502 (or 72661469 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 36286545340224 in words is "thirty-six trillion, two hundred eighty-six billion, five hundred forty-five million, three hundred forty thousand, two hundred twenty-four".