9153865440 has 144 divisors (see below), whose sum is σ = 31541354208. Its totient is φ = 2417292288.

The previous prime is 9153865417. The next prime is 9153865481. The reversal of 9153865440 is 445683519.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117462 + ... + 179178.

It is an arithmetic number, because the mean of its divisors is an integer number (219037182).

Almost surely, 2^9153865440 is an apocalyptic number.

9153865440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9153865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770677104).

9153865440 is an abundant number, since it is smaller than the sum of its proper divisors (22387488768).

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

9153865440 is a wasteful number, since it uses less digits than its factorization.

9153865440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61841 (or 61830 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 9153865440 is about 95675.8351936371. The cubic root of 9153865440 is about 2091.8707211355.

The spelling of 9153865440 in words is "nine billion, one hundred fifty-three million, eight hundred sixty-five thousand, four hundred forty".