45054648 has 72 divisors (see below), whose sum is σ = 124971600. Its totient is φ = 14661504.

The previous prime is 45054637. The next prime is 45054649. The reversal of 45054648 is 84645054.

45054648 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 4 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (45054649) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 506188 + ... + 506276.

Almost surely, 2^45054648 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 45054648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62485800).

45054648 is an abundant number, since it is smaller than the sum of its proper divisors (79916952).

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

45054648 is a wasteful number, since it uses less digits than its factorization.

45054648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 45054648 is about 6712.2759180475. The cubic root of 45054648 is about 355.8332552449.

The spelling of 45054648 in words is "forty-five million, fifty-four thousand, six hundred forty-eight".