114657648 has 180 divisors, whose sum is σ = 365344920. Its totient is φ = 30858240.

The previous prime is 114657617. The next prime is 114657649. The reversal of 114657648 is 846756411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114657649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2796508 + ... + 2796548.

It is an arithmetic number, because the mean of its divisors is an integer number (2029694).

Almost surely, 2^114657648 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 114657648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182672460).

114657648 is an abundant number, since it is smaller than the sum of its proper divisors (250687272).

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

114657648 is a wasteful number, since it uses less digits than its factorization.

114657648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 82 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 114657648 is about 10707.8311529460. The cubic root of 114657648 is about 485.8113715305.

The spelling of 114657648 in words is "one hundred fourteen million, six hundred fifty-seven thousand, six hundred forty-eight".