114874848 has 288 divisors, whose sum is σ = 396264960. Its totient is φ = 32348160.

The previous prime is 114874847. The next prime is 114874853. The reversal of 114874848 is 848478411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (229376) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114874843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454073 + ... + 1454151.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^114874848 is an apocalyptic number.

114874848 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 114874848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

114874848 is an abundant number, since it is smaller than the sum of its proper divisors (281390112).

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

114874848 is a wasteful number, since it uses less digits than its factorization.

114874848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 114874848 is about 10717.9684642193. The cubic root of 114874848 is about 486.1179411977.

The spelling of 114874848 in words is "one hundred fourteen million, eight hundred seventy-four thousand, eight hundred forty-eight".