36513457344 has 1120 divisors, whose sum is σ = 146844593280. Its totient is φ = 8695185408.

The previous prime is 36513457313. The next prime is 36513457349. The reversal of 36513457344 is 44375431563.

36513457344 is a `hidden beast` number, since 3 + 6 + 5 + 1 + 34 + 573 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 36513457344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36513457349) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 232569714 + ... + 232569870.

It is an arithmetic number, because the mean of its divisors is an integer number (131111244).

Almost surely, 2^36513457344 is an apocalyptic number.

36513457344 is a gapful number since it is divisible by the number (34) 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 36513457344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73422296640).

36513457344 is an abundant number, since it is smaller than the sum of its proper divisors (110331135936).

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

36513457344 is a wasteful number, since it uses less digits than its factorization.

36513457344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The spelling of 36513457344 in words is "thirty-six billion, five hundred thirteen million, four hundred fifty-seven thousand, three hundred forty-four".