36438138198 has 576 divisors, whose sum is σ = 112433577984. Its totient is φ = 8622028800.

The previous prime is 36438138197. The next prime is 36438138199. The reversal of 36438138198 is 89183183463.

36438138198 is a `hidden beast` number, since 3 + 6 + 438 + 13 + 8 + 198 = 666.

It is an interprime number because it is at equal distance from previous prime (36438138197) and next prime (36438138199).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36438138197) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 286914411 + ... + 286914537.

It is an arithmetic number, because the mean of its divisors is an integer number (195197184).

Almost surely, 2^36438138198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36438138198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56216788992).

36438138198 is an abundant number, since it is smaller than the sum of its proper divisors (75995439786).

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

36438138198 is a wasteful number, since it uses less digits than its factorization.

36438138198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 36438138198 in words is "thirty-six billion, four hundred thirty-eight million, one hundred thirty-eight thousand, one hundred ninety-eight".