111978048 has 336 divisors, whose sum is σ = 401604480. Its totient is φ = 26836992.

The previous prime is 111978043. The next prime is 111978049. The reversal of 111978048 is 840879111.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 111977997 and 111978015.

It is not an unprimeable number, because it can be changed into a prime (111978043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3861298 + ... + 3861326.

Almost surely, 2^111978048 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 111978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200802240).

111978048 is an abundant number, since it is smaller than the sum of its proper divisors (289626432).

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

111978048 is a wasteful number, since it uses less digits than its factorization.

111978048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 39.

The square root of 111978048 is about 10581.9680589199. The cubic root of 111978048 is about 481.9969582517.

The spelling of 111978048 in words is "one hundred eleven million, nine hundred seventy-eight thousand, forty-eight".