36456246816 has 288 divisors, whose sum is σ = 108776312064. Its totient is φ = 10674892800.

The previous prime is 36456246797. The next prime is 36456246817. The reversal of 36456246816 is 61864265463.

It is a super-2 number, since 2×36456246816² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36456246817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116473476 + ... + 116473788.

It is an arithmetic number, because the mean of its divisors is an integer number (377695528).

Almost surely, 2^36456246816 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 36456246816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54388156032).

36456246816 is an abundant number, since it is smaller than the sum of its proper divisors (72320065248).

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

36456246816 is a wasteful number, since it uses less digits than its factorization.

36456246816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 637 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 51.

The spelling of 36456246816 in words is "thirty-six billion, four hundred fifty-six million, two hundred forty-six thousand, eight hundred sixteen".