36445537311216 has 480 divisors, whose sum is σ = 109888539183360. Its totient is φ = 10382270976000.

The previous prime is 36445537311199. The next prime is 36445537311229. The reversal of 36445537311216 is 61211373554463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3611682331 + ... + 3611692421.

It is an arithmetic number, because the mean of its divisors is an integer number (228934456632).

Almost surely, 2^{36445537311216} 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 36445537311216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54944269591680).

36445537311216 is an abundant number, since it is smaller than the sum of its proper divisors (73443001872144).

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

36445537311216 is a wasteful number, since it uses less digits than its factorization.

36445537311216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10717 (or 10700 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 51.

The spelling of 36445537311216 in words is "thirty-six trillion, four hundred forty-five billion, five hundred thirty-seven million, three hundred eleven thousand, two hundred sixteen".