9233121564 has 108 divisors (see below), whose sum is σ = 24591038472. Its totient is φ = 2920632000.

The previous prime is 9233121517. The next prime is 9233121577. The reversal of 9233121564 is 4651213329.

9233121564 is a `hidden beast` number, since 92 + 3 + 3 + 1 + 2 + 1 + 564 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

9233121564 is a Rhonda number in base 10.

Its product of digits (38880) is a multiple of the sum of its prime factors (3888).

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 35 ways as a sum of consecutive naturals, for example, 2492914 + ... + 2496614.

Almost surely, 2^9233121564 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 9233121564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12295519236).

9233121564 is an abundant number, since it is smaller than the sum of its proper divisors (15357916908).

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

9233121564 is a wasteful number, since it uses less digits than its factorization.

9233121564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3860 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 9233121564 is about 96089.1334334950. The cubic root of 9233121564 is about 2097.8906683993.

The spelling of 9233121564 in words is "nine billion, two hundred thirty-three million, one hundred twenty-one thousand, five hundred sixty-four".