9546125952 has 128 divisors (see below), whose sum is σ = 28184656320. Its totient is φ = 2838118400.

The previous prime is 9546125917. The next prime is 9546125969. The reversal of 9546125952 is 2595216459.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9546125952² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202552 + ... + 245192.

Almost surely, 2^9546125952 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 9546125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092328160).

9546125952 is an abundant number, since it is smaller than the sum of its proper divisors (18638530368).

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

9546125952 is a wasteful number, since it uses less digits than its factorization.

9546125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42722 (or 42710 counting only the distinct ones).

The product of its digits is 972000, while the sum is 48.

The square root of 9546125952 is about 97704.2780639620. The cubic root of 9546125952 is about 2121.3340031740.

The spelling of 9546125952 in words is "nine billion, five hundred forty-six million, one hundred twenty-five thousand, nine hundred fifty-two".