4488923886336 has 432 divisors, whose sum is σ = 13496875392000. Its totient is φ = 1433785909248.

The previous prime is 4488923886313. The next prime is 4488923886361. The reversal of 4488923886336 is 6336883298844.

4488923886336 is a `hidden beast` number, since 4 + 488 + 9 + 2 + 3 + 88 + 63 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1146617856) is a multiple of the sum of its prime factors (3456).

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, 1439217385 + ... + 1439220503.

Almost surely, 2^{4488923886336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4488923886336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748437696000).

4488923886336 is an abundant number, since it is smaller than the sum of its proper divisors (9007951505664).

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

4488923886336 is a wasteful number, since it uses less digits than its factorization.

4488923886336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3439 counting only the distinct ones).

The product of its digits is 1146617856, while the sum is 72.

The spelling of 4488923886336 in words is "four trillion, four hundred eighty-eight billion, nine hundred twenty-three million, eight hundred eighty-six thousand, three hundred thirty-six".