114349536 has 288 divisors, whose sum is σ = 403915680. Its totient is φ = 31352832.

The previous prime is 114349519. The next prime is 114349549. The reversal of 114349536 is 635943411.

114349536 is a `hidden beast` number, since 114 + 3 + 4 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 114349536.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1566396 + ... + 1566468.

It is an arithmetic number, because the mean of its divisors is an integer number (1402485).

Almost surely, 2^114349536 is an apocalyptic number.

114349536 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 114349536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201957840).

114349536 is an abundant number, since it is smaller than the sum of its proper divisors (289566144).

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

114349536 is a wasteful number, since it uses less digits than its factorization.

114349536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 114349536 is about 10693.4342472379. The cubic root of 114349536 is about 485.3758181086.

The spelling of 114349536 in words is "one hundred fourteen million, three hundred forty-nine thousand, five hundred thirty-six".