988124898816 has 960 divisors, whose sum is σ = 3454822305792. Its totient is φ = 268369920000.

The previous prime is 988124898811. The next prime is 988124898857. The reversal of 988124898816 is 618898421889.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988124898811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1896592636 + ... + 1896593156.

Almost surely, 2^988124898816 is an apocalyptic number.

988124898816 is a gapful number since it is divisible by the number (96) 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 988124898816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727411152896).

988124898816 is an abundant number, since it is smaller than the sum of its proper divisors (2466697406976).

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

988124898816 is a wasteful number, since it uses less digits than its factorization.

988124898816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 656 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 72.

The spelling of 988124898816 in words is "nine hundred eighty-eight billion, one hundred twenty-four million, eight hundred ninety-eight thousand, eight hundred sixteen".