36418087394304 has 352 divisors, whose sum is σ = 121889948006400. Its totient is φ = 9391182888960.

The previous prime is 36418087394251. The next prime is 36418087394309. The reversal of 36418087394304 is 40349378081463.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×36418087394304³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36418087394309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32325807 + ... + 33433425.

Almost surely, 2^{36418087394304} 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 36418087394304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60944974003200).

36418087394304 is an abundant number, since it is smaller than the sum of its proper divisors (85471860612096).

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

36418087394304 is a wasteful number, since it uses less digits than its factorization.

36418087394304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107799 (or 1107781 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 36418087394304 in words is "thirty-six trillion, four hundred eighteen billion, eighty-seven million, three hundred ninety-four thousand, three hundred four".