111971401344 has 192 divisors, whose sum is σ = 351737942400. Its totient is φ = 33907875840.

The previous prime is 111971401319. The next prime is 111971401499. The reversal of 111971401344 is 443104179111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111971401299 and 111971401308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35898217 + ... + 35901335.

It is an arithmetic number, because the mean of its divisors is an integer number (1831968450).

Almost surely, 2^111971401344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111971401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175868971200).

111971401344 is an abundant number, since it is smaller than the sum of its proper divisors (239766541056).

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

111971401344 is a wasteful number, since it uses less digits than its factorization.

111971401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

It can be divided in two parts, 111971 and 401344, that added together give a palindrome (513315).

The spelling of 111971401344 in words is "one hundred eleven billion, nine hundred seventy-one million, four hundred one thousand, three hundred forty-four".