9033742116 has 243 divisors, whose sum is σ = 27829183473. Its totient is φ = 2463592320.

The previous prime is 9033742103. The next prime is 9033742117. The reversal of 9033742116 is 6112473309.

The square root of 9033742116 is 95046.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5127992100 + 3905750016 = 71610^2 + 62496^2 .

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 (9033742117) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 123749856 + ... + 123749928.

Almost surely, 2^9033742116 is an apocalyptic number.

9033742116 is the 95046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9033742116

9033742116 is an abundant number, since it is smaller than the sum of its proper divisors (18795441357).

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

9033742116 is a wasteful number, since it uses less digits than its factorization.

9033742116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The cubic root of 9033742116 is about 2082.6800785830.

Multiplying 9033742116 by its sum of digits (36), we get a square (325214716176 = 570276²).

9033742116 divided by its sum of digits (36) gives a square (250937281 = 15841²).

The spelling of 9033742116 in words is "nine billion, thirty-three million, seven hundred forty-two thousand, one hundred sixteen".