8917921152 has 576 divisors, whose sum is σ = 32040721440. Its totient is φ = 2418647040.

The previous prime is 8917921151. The next prime is 8917921153. The reversal of 8917921152 is 2511297198.

It is an interprime number because it is at equal distance from previous prime (8917921151) and next prime (8917921153).

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (90720) is a multiple of the sum of its prime divisors (90).

It is a junction number, because it is equal to n+sod(n) for n = 8917921098 and 8917921107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8917921151) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 217510252 + ... + 217510292.

Almost surely, 2^8917921152 is an apocalyptic number.

8917921152 is a gapful number since it is divisible by the number (82) 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 8917921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020360720).

8917921152 is an abundant number, since it is smaller than the sum of its proper divisors (23122800288).

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

8917921152 is an frugal number, since it uses more digits than its factorization.

8917921152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 8917921152 is about 94434.7454700864. The cubic root of 8917921152 is about 2073.7411362269.

The spelling of 8917921152 in words is "eight billion, nine hundred seventeen million, nine hundred twenty-one thousand, one hundred fifty-two".