114832650240 has 2080 divisors, whose sum is σ = 548044738560. Its totient is φ = 22295347200.

The previous prime is 114832650223. The next prime is 114832650323. The reversal of 114832650240 is 42056238411.

It is a happy number.

114832650240 is a `hidden beast` number, since 1 + 1 + 48 + 326 + 50 + 240 = 666.

It is a super-2 number, since 2×114832650240² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 114832650195 and 114832650204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3704279025 + ... + 3704279055.

Almost surely, 2^114832650240 is an apocalyptic number.

114832650240 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 114832650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274022369280).

114832650240 is an abundant number, since it is smaller than the sum of its proper divisors (433212088320).

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

114832650240 is a wasteful number, since it uses less digits than its factorization.

114832650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

114832650240 divided by its product of nonzero digits (46080) gives a triangular number (2492028 = T₂₂₃₂).

Adding to 114832650240 its reverse (42056238411), we get a palindrome (156888888651).

The spelling of 114832650240 in words is "one hundred fourteen billion, eight hundred thirty-two million, six hundred fifty thousand, two hundred forty".