988259766144 has 256 divisors, whose sum is σ = 3080863488000. Its totient is φ = 280555591680.

The previous prime is 988259766079. The next prime is 988259766149. The reversal of 988259766144 is 441667952889.

988259766144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988259766149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20654889 + ... + 20702679.

It is an arithmetic number, because the mean of its divisors is an integer number (12034623000).

Almost surely, 2^988259766144 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 988259766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540431744000).

988259766144 is an abundant number, since it is smaller than the sum of its proper divisors (2092603721856).

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

988259766144 is a wasteful number, since it uses less digits than its factorization.

988259766144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47986 (or 47960 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 69.

The spelling of 988259766144 in words is "nine hundred eighty-eight billion, two hundred fifty-nine million, seven hundred sixty-six thousand, one hundred forty-four".