45114048 has 168 divisors, whose sum is σ = 150888192. Its totient is φ = 12621312.

The previous prime is 45114023. The next prime is 45114059. The reversal of 45114048 is 84041154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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, 270061 + ... + 270227.

It is an arithmetic number, because the mean of its divisors is an integer number (898144).

Almost surely, 2^45114048 is an apocalyptic number.

45114048 is a gapful number since it is divisible by the number (48) 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 45114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75444096).

45114048 is an abundant number, since it is smaller than the sum of its proper divisors (105774144).

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

45114048 is a wasteful number, since it uses less digits than its factorization.

45114048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 45114048 is about 6716.6991893340. The cubic root of 45114048 is about 355.9895633013.

The spelling of 45114048 in words is "forty-five million, one hundred fourteen thousand, forty-eight".