111206381664 has 384 divisors, whose sum is σ = 365129856000. Its totient is φ = 28915826688.

The previous prime is 111206381651. The next prime is 111206381677. The reversal of 111206381664 is 466183602111.

It is an interprime number because it is at equal distance from previous prime (111206381651) and next prime (111206381677).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86272732 + ... + 86274020.

It is an arithmetic number, because the mean of its divisors is an integer number (950859000).

Almost surely, 2^111206381664 is an apocalyptic number.

111206381664 is a gapful number since it is divisible by the number (14) 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 111206381664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182564928000).

111206381664 is an abundant number, since it is smaller than the sum of its proper divisors (253923474336).

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

111206381664 is a wasteful number, since it uses less digits than its factorization.

111206381664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

Adding to 111206381664 its reverse (466183602111), we get a palindrome (577389983775).

The spelling of 111206381664 in words is "one hundred eleven billion, two hundred six million, three hundred eighty-one thousand, six hundred sixty-four".