114332433120 has 1152 divisors, whose sum is σ = 451742054400. Its totient is φ = 27196342272.

The previous prime is 114332433113. The next prime is 114332433121. The reversal of 114332433120 is 21334233411.

It is a happy number.

114332433120 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 324 + 331 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114332433121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1284634036 + ... + 1284634124.

It is an arithmetic number, because the mean of its divisors is an integer number (392137200).

Almost surely, 2^114332433120 is an apocalyptic number.

114332433120 is a gapful number since it is divisible by the number (10) 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 114332433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225871027200).

114332433120 is an abundant number, since it is smaller than the sum of its proper divisors (337409621280).

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

114332433120 is a wasteful number, since it uses less digits than its factorization.

114332433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 114332433120 its reverse (21334233411), we get a palindrome (135666666531).

The spelling of 114332433120 in words is "one hundred fourteen billion, three hundred thirty-two million, four hundred thirty-three thousand, one hundred twenty".