45063648 has 96 divisors (see below), whose sum is σ = 150232320. Its totient is φ = 12873600.

The previous prime is 45063643. The next prime is 45063653. The reversal of 45063648 is 84636054.

45063648 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 3 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (45063643) and next prime (45063653).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45063643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2323 + ... + 9773.

It is an arithmetic number, because the mean of its divisors is an integer number (1564920).

Almost surely, 2^45063648 is an apocalyptic number.

45063648 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 45063648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75116160).

45063648 is an abundant number, since it is smaller than the sum of its proper divisors (105168672).

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

45063648 is a wasteful number, since it uses less digits than its factorization.

45063648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477 (or 7463 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45063648 is about 6712.9462980125. The cubic root of 45063648 is about 355.8569471112.

The spelling of 45063648 in words is "forty-five million, sixty-three thousand, six hundred forty-eight".