36436232206050 has 192 divisors, whose sum is σ = 93539278103040. Its totient is φ = 9380532026880.

The previous prime is 36436232206019. The next prime is 36436232206079. The reversal of 36436232206050 is 5060223263463.

It is a happy number.

36436232206050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36436232205993 and 36436232206011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203427334 + ... + 203606366.

It is an arithmetic number, because the mean of its divisors is an integer number (487183740120).

Almost surely, 2^{36436232206050} is an apocalyptic number.

36436232206050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36436232206050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46769639051520).

36436232206050 is an abundant number, since it is smaller than the sum of its proper divisors (57103045896990).

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

36436232206050 is a wasteful number, since it uses less digits than its factorization.

36436232206050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179457 (or 179452 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

The spelling of 36436232206050 in words is "thirty-six trillion, four hundred thirty-six billion, two hundred thirty-two million, two hundred six thousand, fifty".