36445605444306 has 80 divisors (see below), whose sum is σ = 81910482955488. Its totient is φ = 12112051564800.

The previous prime is 36445605444301. The next prime is 36445605444317. The reversal of 36445605444306 is 60344450654463.

36445605444306 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 5 + 60 + 544 + 4 + 30 + 6 = 666.

It is a super-3 number, since 3×36445605444306³ (a number of 42 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36445605444301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 355130941 + ... + 355233551.

Almost surely, 2^{36445605444306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36445605444306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40955241477744).

36445605444306 is an abundant number, since it is smaller than the sum of its proper divisors (45464877511182).

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

36445605444306 is a wasteful number, since it uses less digits than its factorization.

36445605444306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109189 (or 109180 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 36445605444306 in words is "thirty-six trillion, four hundred forty-five billion, six hundred five million, four hundred forty-four thousand, three hundred six".