111702088161664 has 1024 divisors, whose sum is σ = 320518433894400. Its totient is φ = 37361386782720.

The previous prime is 111702088161619. The next prime is 111702088161679. The reversal of 111702088161664 is 466161880207111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17649244452 + ... + 17649250780.

It is an arithmetic number, because the mean of its divisors is an integer number (313006283100).

Almost surely, 2^{111702088161664} is an apocalyptic number.

111702088161664 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 111702088161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160259216947200).

111702088161664 is an abundant number, since it is smaller than the sum of its proper divisors (208816345732736).

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

111702088161664 is a wasteful number, since it uses less digits than its factorization.

111702088161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563 (or 6551 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 52.

The spelling of 111702088161664 in words is "one hundred eleven trillion, seven hundred two billion, eighty-eight million, one hundred sixty-one thousand, six hundred sixty-four".