111641216500 has 384 divisors, whose sum is σ = 291651010560. Its totient is φ = 36892800000.

The previous prime is 111641216461. The next prime is 111641216563. The reversal of 111641216500 is 5612146111.

It is a super-2 number, since 2×111641216500² (a number of 23 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 304199317 + ... + 304199683.

It is an arithmetic number, because the mean of its divisors is an integer number (759507840).

Almost surely, 2^111641216500 is an apocalyptic number.

111641216500 is a gapful number since it is divisible by the number (10) 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 111641216500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145825505280).

111641216500 is an abundant number, since it is smaller than the sum of its proper divisors (180009794060).

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

111641216500 is a wasteful number, since it uses less digits than its factorization.

111641216500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

It can be divided in two parts, 11164 and 1216500, that added together give a square (1227664 = 1108²).

The spelling of 111641216500 in words is "one hundred eleven billion, six hundred forty-one million, two hundred sixteen thousand, five hundred".