988414992320 has 224 divisors, whose sum is σ = 2774046735360. Its totient is φ = 328446074880.

The previous prime is 988414992311. The next prime is 988414992329. The reversal of 988414992320 is 23299414889.

It is an interprime number because it is at equal distance from previous prime (988414992311) and next prime (988414992329).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 988414992320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988414992329) 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, 9330692 + ... + 9436028.

Almost surely, 2^988414992320 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 988414992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387023367680).

988414992320 is an abundant number, since it is smaller than the sum of its proper divisors (1785631743040).

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

988414992320 is a wasteful number, since it uses less digits than its factorization.

988414992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105491 (or 105481 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 59.

The spelling of 988414992320 in words is "nine hundred eighty-eight billion, four hundred fourteen million, nine hundred ninety-two thousand, three hundred twenty".