114748416 has 66 divisors (see below), whose sum is σ = 331360172. Its totient is φ = 38246400.

The previous prime is 114748411. The next prime is 114748457. The reversal of 114748416 is 614847411.

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (114748411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2991 + ... + 15441.

Almost surely, 2^114748416 is an apocalyptic number.

114748416 is a gapful number since it is divisible by the number (16) 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 114748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165680086).

114748416 is an abundant number, since it is smaller than the sum of its proper divisors (216611756).

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

114748416 is a wasteful number, since it uses less digits than its factorization.

114748416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12477 (or 12456 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 114748416 is about 10712.0687077707. The cubic root of 114748416 is about 485.9395342140.

The spelling of 114748416 in words is "one hundred fourteen million, seven hundred forty-eight thousand, four hundred sixteen".