9011241624 has 128 divisors (see below), whose sum is σ = 28302151680. Its totient is φ = 2322652800.

The previous prime is 9011241607. The next prime is 9011241661. The reversal of 9011241624 is 4261421109.

It is a super-2 number, since 2×9011241624² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9011241591 and 9011241600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223477 + ... + 260699.

It is an arithmetic number, because the mean of its divisors is an integer number (221110560).

Almost surely, 2^9011241624 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 9011241624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151075840).

9011241624 is an abundant number, since it is smaller than the sum of its proper divisors (19290910056).

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

9011241624 is a wasteful number, since it uses less digits than its factorization.

9011241624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37381 (or 37377 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 9011241624 is about 94927.5598759391. The cubic root of 9011241624 is about 2080.9495190185.

The spelling of 9011241624 in words is "nine billion, eleven million, two hundred forty-one thousand, six hundred twenty-four".