111410414356416 has 224 divisors, whose sum is σ = 337161378731520. Its totient is φ = 31805337636864.

The previous prime is 111410414356363. The next prime is 111410414356433. The reversal of 111410414356416 is 614653414014111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13280531550 + ... + 13280539938.

It is an arithmetic number, because the mean of its divisors is an integer number (1505184726480).

Almost surely, 2^{111410414356416} is an apocalyptic number.

111410414356416 is a gapful number since it is divisible by the number (16) 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 111410414356416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168580689365760).

111410414356416 is an abundant number, since it is smaller than the sum of its proper divisors (225750964375104).

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

111410414356416 is a wasteful number, since it uses less digits than its factorization.

111410414356416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15371 (or 15361 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 111410414356416 in words is "one hundred eleven trillion, four hundred ten billion, four hundred fourteen million, three hundred fifty-six thousand, four hundred sixteen".