36446334406272 has 192 divisors, whose sum is σ = 120216391588800. Its totient is φ = 10382337810432.

The previous prime is 36446334406259. The next prime is 36446334406309. The reversal of 36446334406272 is 27260443364463.

36446334406272 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 6 + 3 + 3 + 4 + 4 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3988122 + ... + 9423257.

It is an arithmetic number, because the mean of its divisors is an integer number (626127039525).

Almost surely, 2^{36446334406272} is an apocalyptic number.

36446334406272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36446334406272 is an abundant number, since it is smaller than the sum of its proper divisors (83770057182528).

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

36446334406272 is a wasteful number, since it uses less digits than its factorization.

36446334406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13411743 (or 13411728 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 54.

The spelling of 36446334406272 in words is "thirty-six trillion, four hundred forty-six billion, three hundred thirty-four million, four hundred six thousand, two hundred seventy-two".