9054462144 has 448 divisors, whose sum is σ = 30987837440. Its totient is φ = 2269347840.

The previous prime is 9054462143. The next prime is 9054462149. The reversal of 9054462144 is 4412644509.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (9054462143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39539022 + ... + 39539250.

It is an arithmetic number, because the mean of its divisors is an integer number (69169280).

Almost surely, 2^9054462144 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 9054462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15493918720).

9054462144 is an abundant number, since it is smaller than the sum of its proper divisors (21933375296).

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

9054462144 is a wasteful number, since it uses less digits than its factorization.

9054462144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 9054462144 is about 95154.9375702596. The cubic root of 9054462144 is about 2084.2711593163.

The spelling of 9054462144 in words is "nine billion, fifty-four million, four hundred sixty-two thousand, one hundred forty-four".