108968624128 has 360 divisors, whose sum is σ = 279575121672. Its totient is φ = 42080403456.

The previous prime is 108968624123. The next prime is 108968624137. The reversal of 108968624128 is 821426869801.

It can be written as a sum of positive squares in 4 ways, for example, as 38153027584 + 70815596544 = 195328^2 + 266112^2 .

It is a super-2 number, since 2×108968624128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108968624123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 553140126 + ... + 553140322.

Almost surely, 2^108968624128 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 108968624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139787560836).

108968624128 is an abundant number, since it is smaller than the sum of its proper divisors (170606497544).

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

108968624128 is an equidigital number, since it uses as much as digits as its factorization.

108968624128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 108968624128 in words is "one hundred eight billion, nine hundred sixty-eight million, six hundred twenty-four thousand, one hundred twenty-eight".