4541503968 has 288 divisors, whose sum is σ = 13888143360. Its totient is φ = 1405347840.

The previous prime is 4541503963. The next prime is 4541503969. The reversal of 4541503968 is 8693051454.

4541503968 is a `hidden beast` number, since 4 + 54 + 1 + 503 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4541503963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33149596 + ... + 33149732.

It is an arithmetic number, because the mean of its divisors is an integer number (48222720).

Almost surely, 2^4541503968 is an apocalyptic number.

4541503968 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 4541503968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944071680).

4541503968 is an abundant number, since it is smaller than the sum of its proper divisors (9346639392).

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

4541503968 is a wasteful number, since it uses less digits than its factorization.

4541503968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4541503968 is about 67390.6816110358. The cubic root of 4541503968 is about 1656.0237691750.

The spelling of 4541503968 in words is "four billion, five hundred forty-one million, five hundred three thousand, nine hundred sixty-eight".