114054336 has 168 divisors, whose sum is σ = 365174784. Its totient is φ = 33738240.

The previous prime is 114054331. The next prime is 114054341. The reversal of 114054336 is 633450411.

114054336 is a `hidden beast` number, since 114 + 0 + 543 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (114054331) and next prime (114054341).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114054331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297601 + ... + 297983.

Almost surely, 2^114054336 is an apocalyptic number.

114054336 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 114054336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182587392).

114054336 is an abundant number, since it is smaller than the sum of its proper divisors (251120448).

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

114054336 is a wasteful number, since it uses less digits than its factorization.

114054336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 114054336 is about 10679.6224652372. The cubic root of 114054336 is about 484.9577828417.

The spelling of 114054336 in words is "one hundred fourteen million, fifty-four thousand, three hundred thirty-six".