988631161056 has 1152 divisors, whose sum is σ = 3832322457600. Its totient is φ = 248275238400.

The previous prime is 988631161031. The next prime is 988631161069. The reversal of 988631161056 is 650161136889.

988631161056 is a `hidden beast` number, since 9 + 8 + 8 + 6 + 3 + 11 + 610 + 5 + 6 = 666.

It is a super-2 number, since 2×988631161056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 988631160993 and 988631161011.

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 191 ways as a sum of consecutive naturals, for example, 909503745 + ... + 909504831.

It is an arithmetic number, because the mean of its divisors is an integer number (3326668800).

Almost surely, 2^988631161056 is an apocalyptic number.

988631161056 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 988631161056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916161228800).

988631161056 is an abundant number, since it is smaller than the sum of its proper divisors (2843691296544).

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

988631161056 is a wasteful number, since it uses less digits than its factorization.

988631161056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 988631161056 in words is "nine hundred eighty-eight billion, six hundred thirty-one million, one hundred sixty-one thousand, fifty-six".