36300803235648 has 224 divisors, whose sum is σ = 114208163516160. Its totient is φ = 9956128358400.

The previous prime is 36300803235563. The next prime is 36300803235667. The reversal of 36300803235648 is 84653230800363.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 36300803235648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4051048 + ... + 9434648.

It is an arithmetic number, because the mean of its divisors is an integer number (509857872840).

Almost surely, 2^{36300803235648} 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 36300803235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57104081758080).

36300803235648 is an abundant number, since it is smaller than the sum of its proper divisors (77907360280512).

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

36300803235648 is a wasteful number, since it uses less digits than its factorization.

36300803235648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383825 (or 5383815 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 36300803235648 in words is "thirty-six trillion, three hundred billion, eight hundred three million, two hundred thirty-five thousand, six hundred forty-eight".