4578315775488 has 320 divisors, whose sum is σ = 16679552440320. Its totient is φ = 1207467565056.

The previous prime is 4578315775487. The next prime is 4578315775499. The reversal of 4578315775488 is 8845775138754.

4578315775488 is a `hidden beast` number, since 4 + 5 + 7 + 8 + 3 + 1 + 5 + 77 + 548 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4578315775487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561720 + ... + 3077687.

It is an arithmetic number, because the mean of its divisors is an integer number (52123601376).

Almost surely, 2^{4578315775488} is an apocalyptic number.

4578315775488 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 4578315775488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8339776220160).

4578315775488 is an abundant number, since it is smaller than the sum of its proper divisors (12101236664832).

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

4578315775488 is a wasteful number, since it uses less digits than its factorization.

4578315775488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639454 (or 3639432 counting only the distinct ones).

The product of its digits is 1053696000, while the sum is 72.

The spelling of 4578315775488 in words is "four trillion, five hundred seventy-eight billion, three hundred fifteen million, seven hundred seventy-five thousand, four hundred eighty-eight".