114363648 has 162 divisors, whose sum is σ = 383952114. Its totient is φ = 32643072.

The previous prime is 114363611. The next prime is 114363649. The reversal of 114363648 is 846363411.

It is a happy number.

114363648 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 6 + 3 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59721984 + 54641664 = 7728^2 + 7392^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114363649) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112390 + ... + 113402.

Almost surely, 2^114363648 is an apocalyptic number.

114363648 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 114363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191976057).

114363648 is an abundant number, since it is smaller than the sum of its proper divisors (269588466).

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

114363648 is a wasteful number, since it uses less digits than its factorization.

114363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1025 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 114363648 is about 10694.0940710282. The cubic root of 114363648 is about 485.3957842057.

The spelling of 114363648 in words is "one hundred fourteen million, three hundred sixty-three thousand, six hundred forty-eight".