9380143872 has 288 divisors, whose sum is σ = 30569736960. Its totient is φ = 2813460480.

The previous prime is 9380143853. The next prime is 9380143879. The reversal of 9380143872 is 2783410839.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9380143879) 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 31 ways as a sum of consecutive naturals, for example, 8134848 + ... + 8136000.

It is an arithmetic number, because the mean of its divisors is an integer number (106144920).

Almost surely, 2^9380143872 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 9380143872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284868480).

9380143872 is an abundant number, since it is smaller than the sum of its proper divisors (21189593088).

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

9380143872 is a wasteful number, since it uses less digits than its factorization.

9380143872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9380143872 is about 96851.1428533500. The cubic root of 9380143872 is about 2108.9672380480.

The spelling of 9380143872 in words is "nine billion, three hundred eighty million, one hundred forty-three thousand, eight hundred seventy-two".