4573061307648 has 432 divisors, whose sum is σ = 13961058471360. Its totient is φ = 1492431962112.

The previous prime is 4573061307637. The next prime is 4573061307671. The reversal of 4573061307648 is 8467031603754.

It is a happy number.

4573061307648 is a `hidden beast` number, since 4 + 573 + 0 + 6 + 1 + 3 + 0 + 7 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×4573061307648³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4573061307594 and 4573061307603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1955134063 + ... + 1955136401.

It is an arithmetic number, because the mean of its divisors is an integer number (32317264980).

Almost surely, 2^{4573061307648} is an apocalyptic number.

4573061307648 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 4573061307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980529235680).

4573061307648 is an abundant number, since it is smaller than the sum of its proper divisors (9387997163712).

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

4573061307648 is an equidigital number, since it uses as much as digits as its factorization.

4573061307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4573061307648 in words is "four trillion, five hundred seventy-three billion, sixty-one million, three hundred seven thousand, six hundred forty-eight".