36122876818014 has 256 divisors, whose sum is σ = 88669976832000. Its totient is φ = 9576462974976.

The previous prime is 36122876817941. The next prime is 36122876818037. The reversal of 36122876818014 is 41081867822163.

36122876818014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 8453748582 + ... + 8453752854.

It is an arithmetic number, because the mean of its divisors is an integer number (346367097000).

Almost surely, 2^{36122876818014} is an apocalyptic number.

36122876818014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36122876818014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44334988416000).

36122876818014 is an abundant number, since it is smaller than the sum of its proper divisors (52547100013986).

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

36122876818014 is a wasteful number, since it uses less digits than its factorization.

36122876818014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027.

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 36122876818014 in words is "thirty-six trillion, one hundred twenty-two billion, eight hundred seventy-six million, eight hundred eighteen thousand, fourteen".