4488104484864 has 2240 divisors, whose sum is σ = 18703168323840. Its totient is φ = 1034504110080.

The previous prime is 4488104484863. The next prime is 4488104484923. The reversal of 4488104484864 is 4684844018844.

4488104484864 is a `hidden beast` number, since 4 + 4 + 8 + 8 + 104 + 48 + 486 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4488104484863) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 19262250892 + ... + 19262251124.

It is an arithmetic number, because the mean of its divisors is an integer number (8349628716).

Almost surely, 2^{4488104484864} is an apocalyptic number.

4488104484864 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 4488104484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9351584161920).

4488104484864 is an abundant number, since it is smaller than the sum of its proper divisors (14215063838976).

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

4488104484864 is a wasteful number, since it uses less digits than its factorization.

4488104484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 100663296, while the sum is 63.

The spelling of 4488104484864 in words is "four trillion, four hundred eighty-eight billion, one hundred four million, four hundred eighty-four thousand, eight hundred sixty-four".