4618893385728 has 168 divisors, whose sum is σ = 13467376075608. Its totient is φ = 1525239447552.

The previous prime is 4618893385697. The next prime is 4618893385741. The reversal of 4618893385728 is 8275833988164.

4618893385728 is a `hidden beast` number, since 4 + 6 + 18 + 8 + 9 + 3 + 38 + 572 + 8 = 666.

It is a super-2 number, since 2×4618893385728² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7596150 + ... + 8181642.

It is an arithmetic number, because the mean of its divisors is an integer number (80162952831).

Almost surely, 2^{4618893385728} is an apocalyptic number.

4618893385728 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 4618893385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733688037804).

4618893385728 is an abundant number, since it is smaller than the sum of its proper divisors (8848482689880).

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

4618893385728 is a wasteful number, since it uses less digits than its factorization.

4618893385728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585632 (or 585605 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 4618893385728 in words is "four trillion, six hundred eighteen billion, eight hundred ninety-three million, three hundred eighty-five thousand, seven hundred twenty-eight".