9034049471328 has 1152 divisors, whose sum is σ = 33289345474560. Its totient is φ = 2331880980480.

The previous prime is 9034049471281. The next prime is 9034049471389. The reversal of 9034049471328 is 8231749404309.

9034049471328 is a `hidden beast` number, since 90 + 3 + 40 + 49 + 471 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×9034049471328² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7423211776 + ... + 7423212992.

It is an arithmetic number, because the mean of its divisors is an integer number (28897001280).

Almost surely, 2^{9034049471328} 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 9034049471328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16644672737280).

9034049471328 is an abundant number, since it is smaller than the sum of its proper divisors (24255296003232).

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

9034049471328 is a wasteful number, since it uses less digits than its factorization.

9034049471328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 9034049471328 in words is "nine trillion, thirty-four billion, forty-nine million, four hundred seventy-one thousand, three hundred twenty-eight".