36516325144536 has 192 divisors, whose sum is σ = 106348401169920. Its totient is φ = 11290892490240.

The previous prime is 36516325144489. The next prime is 36516325144553. The reversal of 36516325144536 is 63544152361563.

36516325144536 is a `hidden beast` number, since 3 + 6 + 5 + 1 + 63 + 2 + 5 + 1 + 44 + 536 = 666.

It is a super-2 number, since 2×36516325144536² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9728371 + ... + 12948893.

It is an arithmetic number, because the mean of its divisors is an integer number (553897922760).

Almost surely, 2^{36516325144536} is an apocalyptic number.

36516325144536 is a gapful number since it is divisible by the number (36) 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 36516325144536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53174200584960).

36516325144536 is an abundant number, since it is smaller than the sum of its proper divisors (69832076025384).

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

36516325144536 is a wasteful number, since it uses less digits than its factorization.

36516325144536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220766 (or 3220759 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 54.

The spelling of 36516325144536 in words is "thirty-six trillion, five hundred sixteen billion, three hundred twenty-five million, one hundred forty-four thousand, five hundred thirty-six".