36456556096 has 63 divisors (see below), whose sum is σ = 75015250401. Its totient is φ = 17578331904.

The previous prime is 36456556093. The next prime is 36456556127. The reversal of 36456556096 is 69065565463.

The square root of 36456556096 is 190936.

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

36456556096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19116933696 + 17339622400 = 138264^2 + 131680^2 .

It is a super-2 number, since 2×36456556096² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36456556093) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44296741 + ... + 44297563.

Almost surely, 2^36456556096 is an apocalyptic number.

36456556096 is the 190936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36456556096

36456556096 is an abundant number, since it is smaller than the sum of its proper divisors (38558694305).

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

36456556096 is an frugal number, since it uses more digits than its factorization.

36456556096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 55.

The spelling of 36456556096 in words is "thirty-six billion, four hundred fifty-six million, five hundred fifty-six thousand, ninety-six".