36456432465312 has 240 divisors, whose sum is σ = 108798948858600. Its totient is φ = 11974116833280.

The previous prime is 36456432465293. The next prime is 36456432465403. The reversal of 36456432465312 is 21356423465463.

36456432465312 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 64 + 3 + 2 + 46 + 531 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21216746794896 + 15239685670416 = 4606164^2 + 3903804^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50781114 + ... + 51494022.

Almost surely, 2^{36456432465312} is an apocalyptic number.

36456432465312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36456432465312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54399474429300).

36456432465312 is an abundant number, since it is smaller than the sum of its proper divisors (72342516393288).

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

36456432465312 is a wasteful number, since it uses less digits than its factorization.

36456432465312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713221 (or 713204 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 54.

The spelling of 36456432465312 in words is "thirty-six trillion, four hundred fifty-six billion, four hundred thirty-two million, four hundred sixty-five thousand, three hundred twelve".