36413250048 has 720 divisors, whose sum is σ = 129898248480. Its totient is φ = 9775890432.

The previous prime is 36413250043. The next prime is 36413250061. The reversal of 36413250048 is 84005231463.

36413250048 is a `hidden beast` number, since 3 + 641 + 3 + 2 + 5 + 0 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36413249994 and 36413250021.

It is not an unprimeable number, because it can be changed into a prime (36413250043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 438713815 + ... + 438713897.

It is an arithmetic number, because the mean of its divisors is an integer number (180414234).

Almost surely, 2^36413250048 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 36413250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64949124240).

36413250048 is an abundant number, since it is smaller than the sum of its proper divisors (93484998432).

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

36413250048 is a wasteful number, since it uses less digits than its factorization.

36413250048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 36413250048 in words is "thirty-six billion, four hundred thirteen million, two hundred fifty thousand, forty-eight".