111966048 has 72 divisors (see below), whose sum is σ = 328700736. Its totient is φ = 36115200.

The previous prime is 111966037. The next prime is 111966059. The reversal of 111966048 is 840669111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111966037) and next prime (111966059).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2658 + ... + 15198.

It is an arithmetic number, because the mean of its divisors is an integer number (4565288).

Almost surely, 2^111966048 is an apocalyptic number.

111966048 is a gapful number since it is divisible by the number (18) 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 111966048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164350368).

111966048 is an abundant number, since it is smaller than the sum of its proper divisors (216734688).

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

111966048 is a wasteful number, since it uses less digits than its factorization.

111966048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12588 (or 12577 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 111966048 is about 10581.4010414500. The cubic root of 111966048 is about 481.9797400849.

The spelling of 111966048 in words is "one hundred eleven million, nine hundred sixty-six thousand, forty-eight".