114250370113152 has 2048 divisors, whose sum is σ = 470941367500800. Its totient is φ = 26392276500480.

The previous prime is 114250370113151. The next prime is 114250370113273. The reversal of 114250370113152 is 251311073052411.

114250370113152 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 503 + 70 + 1 + 1 + 31 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114250370113151) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4549801077 + ... + 4549826187.

It is an arithmetic number, because the mean of its divisors is an integer number (229951839600).

Almost surely, 2^{114250370113152} is an apocalyptic number.

114250370113152 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 114250370113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235470683750400).

114250370113152 is an abundant number, since it is smaller than the sum of its proper divisors (356690997387648).

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

114250370113152 is a wasteful number, since it uses less digits than its factorization.

114250370113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25231 (or 25213 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 114250370113152 in words is "one hundred fourteen trillion, two hundred fifty billion, three hundred seventy million, one hundred thirteen thousand, one hundred fifty-two".