114612474240 has 384 divisors, whose sum is σ = 432969338880. Its totient is φ = 27706429440.

The previous prime is 114612474239. The next prime is 114612474287. The reversal of 114612474240 is 42474216411.

114612474240 is a `hidden beast` number, since 1 + 14 + 612 + 4 + 7 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 114612474195 and 114612474204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24264519 + ... + 24269241.

It is an arithmetic number, because the mean of its divisors is an integer number (1127524320).

Almost surely, 2^114612474240 is an apocalyptic number.

114612474240 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 114612474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216484669440).

114612474240 is an abundant number, since it is smaller than the sum of its proper divisors (318356864640).

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

114612474240 is a wasteful number, since it uses less digits than its factorization.

114612474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 114612474240 in words is "one hundred fourteen billion, six hundred twelve million, four hundred seventy-four thousand, two hundred forty".