36134084016 has 160 divisors (see below), whose sum is σ = 105180768000. Its totient is φ = 11875640832.

The previous prime is 36134084009. The next prime is 36134084017. The reversal of 36134084016 is 61048043163.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (36134084017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16108591 + ... + 16110833.

It is an arithmetic number, because the mean of its divisors is an integer number (657379800).

Almost surely, 2^36134084016 is an apocalyptic number.

36134084016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36134084016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52590384000).

36134084016 is an abundant number, since it is smaller than the sum of its proper divisors (69046683984).

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

36134084016 is a wasteful number, since it uses less digits than its factorization.

36134084016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 36134084016 in words is "thirty-six billion, one hundred thirty-four million, eighty-four thousand, sixteen".