36013537272384 has 735 divisors, whose sum is σ = 125062474718467. Its totient is φ = 10289582077824.

The previous prime is 36013537272341. The next prime is 36013537272481. The reversal of 36013537272384 is 48327273531063.

The square root of 36013537272384 is 6001128.

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

36013537272384 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 3 + 537 + 2 + 7 + 23 + 84 = 666.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36013537272384.

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 104 ways as a sum of consecutive naturals, for example, 5144791038909 + ... + 5144791038915.

Almost surely, 2^{36013537272384} is an apocalyptic number.

36013537272384 is the 6001128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36013537272384

36013537272384 is an abundant number, since it is smaller than the sum of its proper divisors (89048937446083).

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

36013537272384 is an frugal number, since it uses more digits than its factorization.

36013537272384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 36013537272384 in words is "thirty-six trillion, thirteen billion, five hundred thirty-seven million, two hundred seventy-two thousand, three hundred eighty-four".