988430961888 has 192 divisors, whose sum is σ = 2985366888000. Its totient is φ = 317792305152.

The previous prime is 988430961863. The next prime is 988430961907. The reversal of 988430961888 is 888169034889.

988430961888 is a `hidden beast` number, since 9 + 8 + 8 + 430 + 9 + 6 + 188 + 8 = 666.

It is a super-3 number, since 3×988430961888³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25261956 + ... + 25301052.

It is an arithmetic number, because the mean of its divisors is an integer number (15548785875).

Almost surely, 2^988430961888 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 988430961888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492683444000).

988430961888 is an abundant number, since it is smaller than the sum of its proper divisors (1996935926112).

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

988430961888 is a wasteful number, since it uses less digits than its factorization.

988430961888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40154 (or 40140 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 988430961888 in words is "nine hundred eighty-eight billion, four hundred thirty million, nine hundred sixty-one thousand, eight hundred eighty-eight".