110116913384352 has 384 divisors, whose sum is σ = 345309287984640. Its totient is φ = 30060321177600.

The previous prime is 110116913384321. The next prime is 110116913384369. The reversal of 110116913384352 is 253483319611011.

It is a super-2 number, since 2×110116913384352² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 3970023028 + ... + 3970050764.

It is an arithmetic number, because the mean of its divisors is an integer number (899242937460).

Almost surely, 2^{110116913384352} is an apocalyptic number.

110116913384352 is a gapful number since it is divisible by the number (12) 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 110116913384352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172654643992320).

110116913384352 is an abundant number, since it is smaller than the sum of its proper divisors (235192374600288).

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

110116913384352 is a wasteful number, since it uses less digits than its factorization.

110116913384352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29904 (or 29896 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 110116913384352 in words is "one hundred ten trillion, one hundred sixteen billion, nine hundred thirteen million, three hundred eighty-four thousand, three hundred fifty-two".