9019744128 has 384 divisors, whose sum is σ = 28870732800. Its totient is φ = 2690334720.

The previous prime is 9019744061. The next prime is 9019744177. The reversal of 9019744128 is 8214479109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50389543 + ... + 50389721.

It is an arithmetic number, because the mean of its divisors is an integer number (75184200).

Almost surely, 2^9019744128 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 9019744128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14435366400).

9019744128 is an abundant number, since it is smaller than the sum of its proper divisors (19850988672).

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

9019744128 is a wasteful number, since it uses less digits than its factorization.

9019744128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9019744128 is about 94972.3334871793. Note that the first 3 decimals coincide. The cubic root of 9019744128 is about 2081.6038025037.

The spelling of 9019744128 in words is "nine billion, nineteen million, seven hundred forty-four thousand, one hundred twenty-eight".