114848160 has 288 divisors, whose sum is σ = 444709440. Its totient is φ = 24772608.

The previous prime is 114848147. The next prime is 114848171. The reversal of 114848160 is 61848411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446752 + ... + 447008.

It is an arithmetic number, because the mean of its divisors is an integer number (1544130).

Almost surely, 2^114848160 is an apocalyptic number.

114848160 is a gapful number since it is divisible by the number (10) 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 114848160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222354720).

114848160 is an abundant number, since it is smaller than the sum of its proper divisors (329861280).

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

114848160 is a wasteful number, since it uses less digits than its factorization.

114848160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 114848160 is about 10716.7233798396. The cubic root of 114848160 is about 486.0802929203.

The spelling of 114848160 in words is "one hundred fourteen million, eight hundred forty-eight thousand, one hundred sixty".