4825981452864 has 896 divisors, whose sum is σ = 15673930836480. Its totient is φ = 1291006771200.

The previous prime is 4825981452847. The next prime is 4825981452917. The reversal of 4825981452864 is 4682541895284.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 4825981452795 and 4825981452804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21074154702 + ... + 21074154930.

It is an arithmetic number, because the mean of its divisors is an integer number (17493226380).

Almost surely, 2^{4825981452864} is an apocalyptic number.

4825981452864 is a gapful number since it is divisible by the number (44) 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 4825981452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836965418240).

4825981452864 is an abundant number, since it is smaller than the sum of its proper divisors (10847949383616).

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

4825981452864 is a wasteful number, since it uses less digits than its factorization.

4825981452864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 589 counting only the distinct ones).

The product of its digits is 176947200, while the sum is 66.

The spelling of 4825981452864 in words is "four trillion, eight hundred twenty-five billion, nine hundred eighty-one million, four hundred fifty-two thousand, eight hundred sixty-four".