114232146587136 has 800 divisors, whose sum is σ = 353900647346400. Its totient is φ = 36664698470400.

The previous prime is 114232146587057. The next prime is 114232146587137. The reversal of 114232146587136 is 631785641232411.

114232146587136 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 3 + 2 + 1 + 46 + 587 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114232146587137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27191653836 + ... + 27191658036.

It is an arithmetic number, because the mean of its divisors is an integer number (442375809183).

Almost surely, 2^{114232146587136} is an apocalyptic number.

114232146587136 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 114232146587136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176950323673200).

114232146587136 is an abundant number, since it is smaller than the sum of its proper divisors (239668500759264).

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

114232146587136 is an equidigital number, since it uses as much as digits as its factorization.

114232146587136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4487 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 114232146587136 in words is "one hundred fourteen trillion, two hundred thirty-two billion, one hundred forty-six million, five hundred eighty-seven thousand, one hundred thirty-six".