108823437259968 has 448 divisors, whose sum is σ = 308633042880000. Its totient is φ = 33742150041600.

The previous prime is 108823437259939. The next prime is 108823437260051. The reversal of 108823437259968 is 869952734328801.

It is a super-2 number, since 2×108823437259968² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 108823437259968.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35691516108 + ... + 35691519156.

It is a 1-persistent number, because it is pandigital, but 2⋅108823437259968 = 217646874519936 is not.

Almost surely, 2^{108823437259968} 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 108823437259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154316521440000).

108823437259968 is an abundant number, since it is smaller than the sum of its proper divisors (199809605620032).

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

108823437259968 is a wasteful number, since it uses less digits than its factorization.

108823437259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 75.

The spelling of 108823437259968 in words is "one hundred eight trillion, eight hundred twenty-three billion, four hundred thirty-seven million, two hundred fifty-nine thousand, nine hundred sixty-eight".