36456734546652 has 288 divisors, whose sum is σ = 101349281376000. Its totient is φ = 10166856548352.

The previous prime is 36456734546641. The next prime is 36456734546677. The reversal of 36456734546652 is 25664543765463.

It is a happy number.

36456734546652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2826316099 + ... + 2826328997.

It is an arithmetic number, because the mean of its divisors is an integer number (351907227000).

Almost surely, 2^{36456734546652} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36456734546652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50674640688000).

36456734546652 is an abundant number, since it is smaller than the sum of its proper divisors (64892546829348).

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

36456734546652 is a wasteful number, since it uses less digits than its factorization.

36456734546652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13553 (or 13544 counting only the distinct ones).

The product of its digits is 1306368000, while the sum is 66.

The spelling of 36456734546652 in words is "thirty-six trillion, four hundred fifty-six billion, seven hundred thirty-four million, five hundred forty-six thousand, six hundred fifty-two".