36114048 has 192 divisors, whose sum is σ = 114566400. Its totient is φ = 10881024.

The previous prime is 36114031. The next prime is 36114053. The reversal of 36114048 is 84041163.

36114048 is a `hidden beast` number, since 3 + 611 + 4 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768361 + ... + 768407.

It is an arithmetic number, because the mean of its divisors is an integer number (596700).

Almost surely, 2^36114048 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 36114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

36114048 is an abundant number, since it is smaller than the sum of its proper divisors (78452352).

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

36114048 is a wasteful number, since it uses less digits than its factorization.

36114048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 36114048 is about 6009.4964847315. The cubic root of 36114048 is about 330.5410408438.

The spelling of 36114048 in words is "thirty-six million, one hundred fourteen thousand, forty-eight".