9305951952 has 80 divisors (see below), whose sum is σ = 26276978880. Its totient is φ = 2814489600.

The previous prime is 9305951939. The next prime is 9305951981. The reversal of 9305951952 is 2591595039.

It is a super-2 number, since 2×9305951952² (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 a congruent number.

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, 258174 + ... + 292002.

It is an arithmetic number, because the mean of its divisors is an integer number (328462236).

Almost surely, 2^9305951952 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 9305951952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138489440).

9305951952 is an abundant number, since it is smaller than the sum of its proper divisors (16971026928).

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

9305951952 is a wasteful number, since it uses less digits than its factorization.

9305951952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34372 (or 34366 counting only the distinct ones).

The product of its (nonzero) digits is 546750, while the sum is 48.

The square root of 9305951952 is about 96467.3621076061. The cubic root of 9305951952 is about 2103.3922461648.

The spelling of 9305951952 in words is "nine billion, three hundred five million, nine hundred fifty-one thousand, nine hundred fifty-two".