114561432 has 64 divisors (see below), whose sum is σ = 320112000. Its totient is φ = 37960992.

The previous prime is 114561427. The next prime is 114561439. The reversal of 114561432 is 234165411.

It is a happy number.

114561432 is a `hidden beast` number, since 1 + 1 + 45 + 614 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114561396 and 114561405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114561439) 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 15 ways as a sum of consecutive naturals, for example, 37183 + ... + 40145.

It is an arithmetic number, because the mean of its divisors is an integer number (5001750).

Almost surely, 2^114561432 is an apocalyptic number.

114561432 is a gapful number since it is divisible by the number (12) 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 114561432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160056000).

114561432 is an abundant number, since it is smaller than the sum of its proper divisors (205550568).

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

114561432 is a wasteful number, since it uses less digits than its factorization.

114561432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3147 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 114561432 is about 10703.3374234395. The cubic root of 114561432 is about 485.6754425026.

The spelling of 114561432 in words is "one hundred fourteen million, five hundred sixty-one thousand, four hundred thirty-two".