988338814606080 has 3888 divisors, whose sum is σ = 4374559001554560. Its totient is φ = 205102949990400.

The previous prime is 988338814606079. The next prime is 988338814606081. The reversal of 988338814606080 is 80606418833889.

988338814606080 is a `hidden beast` number, since 9 + 8 + 8 + 3 + 3 + 8 + 8 + 1 + 4 + 6 + 0 + 608 + 0 = 666.

988338814606080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (988338814606079) and next prime (988338814606081).

It is a super-2 number, since 2×988338814606080² (a number of 31 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (988338814606081) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 528240947545 + ... + 528240949415.

It is an arithmetic number, because the mean of its divisors is an integer number (1125143776120).

Almost surely, 2^{988338814606080} is an apocalyptic number.

988338814606080 is a gapful number since it is divisible by the number (90) 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 988338814606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187279500777280).

988338814606080 is an abundant number, since it is smaller than the sum of its proper divisors (3386220186948480).

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

988338814606080 is a wasteful number, since it uses less digits than its factorization.

988338814606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 72.

The spelling of 988338814606080 in words is "nine hundred eighty-eight trillion, three hundred thirty-eight billion, eight hundred fourteen million, six hundred six thousand, eighty".