36066078294016 has 51 divisors (see below), whose sum is σ = 72134681189011. Its totient is φ = 18032270442496.

The previous prime is 36066078293983. The next prime is 36066078294031. The reversal of 36066078294016 is 61049287066063.

It is a happy number.

The square root of 36066078294016 is 6005504.

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

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 1537397295 + ... + 1537420753.

Almost surely, 2^{36066078294016} is an apocalyptic number.

36066078294016 is the 6005504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36066078294016

36066078294016 is an abundant number, since it is smaller than the sum of its proper divisors (36068602894995).

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

36066078294016 is an frugal number, since it uses more digits than its factorization.

36066078294016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46950 (or 23461 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 58.

The spelling of 36066078294016 in words is "thirty-six trillion, sixty-six billion, seventy-eight million, two hundred ninety-four thousand, sixteen".