114748608 has 112 divisors (see below), whose sum is σ = 337734656. Its totient is φ = 34145280.

The previous prime is 114748607. The next prime is 114748609. The reversal of 114748608 is 806847411.

It is an interprime number because it is at equal distance from previous prime (114748607) and next prime (114748609).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (114748603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76635 + ... + 78117.

It is an arithmetic number, because the mean of its divisors is an integer number (3015488).

Almost surely, 2^114748608 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 114748608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168867328).

114748608 is an abundant number, since it is smaller than the sum of its proper divisors (222986048).

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

114748608 is a wasteful number, since it uses less digits than its factorization.

114748608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 114748608 is about 10712.0776696213. The cubic root of 114748608 is about 485.9398052427.

The spelling of 114748608 in words is "one hundred fourteen million, seven hundred forty-eight thousand, six hundred eight".