45603648 has 140 divisors (see below), whose sum is σ = 142605760. Its totient is φ = 14370048.

The previous prime is 45603599. The next prime is 45603653. The reversal of 45603648 is 84630654.

45603648 = 54³ + 55³ + ... + 117³.

45603648 is a `hidden beast` number, since 4 + 5 + 6 + 0 + 3 + 648 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98265 + ... + 98727.

Almost surely, 2^45603648 is an apocalyptic number.

45603648 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 45603648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71302880).

45603648 is an abundant number, since it is smaller than the sum of its proper divisors (97002112).

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

45603648 is a wasteful number, since it uses less digits than its factorization.

45603648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 487 counting only the distinct ones).

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

The square root of 45603648 is about 6753.0473121399. The cubic root of 45603648 is about 357.2727243062.

The spelling of 45603648 in words is "forty-five million, six hundred three thousand, six hundred forty-eight".