889988456448 has 1344 divisors, whose sum is σ = 3486449191680. Its totient is φ = 220915040256.

The previous prime is 889988456419. The next prime is 889988456459. The reversal of 889988456448 is 844654889988.

889988456448 is a `hidden beast` number, since 8 + 8 + 9 + 9 + 8 + 8 + 4 + 564 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×889988456448² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52352262136 + ... + 52352262152.

It is an arithmetic number, because the mean of its divisors is an integer number (2594084220).

Almost surely, 2^889988456448 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 889988456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743224595840).

889988456448 is an abundant number, since it is smaller than the sum of its proper divisors (2596460735232).

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

889988456448 is an frugal number, since it uses more digits than its factorization.

889988456448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 42 counting only the distinct ones).

The product of its digits is 5096079360, while the sum is 81.

The spelling of 889988456448 in words is "eight hundred eighty-nine billion, nine hundred eighty-eight million, four hundred fifty-six thousand, four hundred forty-eight".