4845988617120 has 1728 divisors, whose sum is σ = 20932597445760. Its totient is φ = 1014438297600.

The previous prime is 4845988617097. The next prime is 4845988617131. The reversal of 4845988617120 is 217168895484.

4845988617120 is a `hidden beast` number, since 4 + 8 + 4 + 5 + 9 + 8 + 8 + 617 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7200577104 + ... + 7200577776.

It is an arithmetic number, because the mean of its divisors is an integer number (12113771670).

Almost surely, 2^{4845988617120} is an apocalyptic number.

4845988617120 is a gapful number since it is divisible by the number (40) 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 4845988617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10466298722880).

4845988617120 is an abundant number, since it is smaller than the sum of its proper divisors (16086608828640).

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

4845988617120 is a wasteful number, since it uses less digits than its factorization.

4845988617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 4845988617120 in words is "four trillion, eight hundred forty-five billion, nine hundred eighty-eight million, six hundred seventeen thousand, one hundred twenty".