36090008416 has 144 divisors (see below), whose sum is σ = 91063565712. Its totient is φ = 13921152000.

The previous prime is 36090008411. The next prime is 36090008417. The reversal of 36090008416 is 61480009063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36090008411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1731690 + ... + 1752406.

It is an arithmetic number, because the mean of its divisors is an integer number (632385873).

Almost surely, 2^36090008416 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 36090008416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45531782856).

36090008416 is an abundant number, since it is smaller than the sum of its proper divisors (54973557296).

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

36090008416 is a wasteful number, since it uses less digits than its factorization.

36090008416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20853 (or 20838 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 36090008416 in words is "thirty-six billion, ninety million, eight thousand, four hundred sixteen".