111543713620416 has 4032 divisors, whose sum is σ = 466189783879680. Its totient is φ = 25935062630400.

The previous prime is 111543713620379. The next prime is 111543713620487. The reversal of 111543713620416 is 614026317345111.

111543713620416 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 4 + 3 + 7 + 1 + 3 + 620 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 394147397811 + ... + 394147398093.

It is an arithmetic number, because the mean of its divisors is an integer number (115622466240).

Almost surely, 2^{111543713620416} is an apocalyptic number.

111543713620416 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 111543713620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233094891939840).

111543713620416 is an abundant number, since it is smaller than the sum of its proper divisors (354646070259264).

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

111543713620416 is a wasteful number, since it uses less digits than its factorization.

111543713620416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 111543713620416 in words is "one hundred eleven trillion, five hundred forty-three billion, seven hundred thirteen million, six hundred twenty thousand, four hundred sixteen".