9054714960 has 120 divisors (see below), whose sum is σ = 30542096520. Its totient is φ = 2404002816.

The previous prime is 9054714941. The next prime is 9054714971. The reversal of 9054714960 is 694174509.

9054714960 is a `hidden beast` number, since 9 + 0 + 547 + 1 + 49 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2121155136 + 6933559824 = 46056^2 + 83268^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137422 + ... + 192338.

It is an arithmetic number, because the mean of its divisors is an integer number (254517471).

Almost surely, 2^9054714960 is an apocalyptic number.

9054714960 is a gapful number since it is divisible by the number (90) 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 9054714960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15271048260).

9054714960 is an abundant number, since it is smaller than the sum of its proper divisors (21487381560).

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

9054714960 is a wasteful number, since it uses less digits than its factorization.

9054714960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55165 (or 55156 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9054714960 is about 95156.2660049248. The cubic root of 9054714960 is about 2084.2905579356.

The spelling of 9054714960 in words is "nine billion, fifty-four million, seven hundred fourteen thousand, nine hundred sixty".