9545285376 has 432 divisors, whose sum is σ = 31610950560. Its totient is φ = 2838528000.

The previous prime is 9545285339. The next prime is 9545285411. The reversal of 9545285376 is 6735825459.

9545285376 is a `hidden beast` number, since 9 + 54 + 52 + 8 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×9545285376² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84471496 + ... + 84471608.

Almost surely, 2^9545285376 is an apocalyptic number.

9545285376 is a gapful number since it is divisible by the number (96) 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 9545285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805475280).

9545285376 is an abundant number, since it is smaller than the sum of its proper divisors (22065665184).

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

9545285376 is a wasteful number, since it uses less digits than its factorization.

9545285376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 230 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 9545285376 is about 97699.9763357187. The cubic root of 9545285376 is about 2121.2717372594.

The spelling of 9545285376 in words is "nine billion, five hundred forty-five million, two hundred eighty-five thousand, three hundred seventy-six".