988354105600 has 405 divisors, whose sum is σ = 2661077520633. Its totient is φ = 363433082880.

The previous prime is 988354105589. The next prime is 988354105633. The reversal of 988354105600 is 6501453889.

The square root of 988354105600 is 994160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 107699486976 + 880654618624 = 328176^2 + 938432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22984979179 + ... + 22984979221.

Almost surely, 2^988354105600 is an apocalyptic number.

988354105600 is the 994160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988354105600

988354105600 is an abundant number, since it is smaller than the sum of its proper divisors (1672723415033).

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

988354105600 is an frugal number, since it uses more digits than its factorization.

988354105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

Multiplying 988354105600 by its sum of digits (49), we get a square (48429351174400 = 6959120²).

The spelling of 988354105600 in words is "nine hundred eighty-eight billion, three hundred fifty-four million, one hundred five thousand, six hundred".