114752335152 has 320 divisors, whose sum is σ = 369234145280. Its totient is φ = 29903385600.

The previous prime is 114752335133. The next prime is 114752335157. The reversal of 114752335152 is 251533257411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 114752335152.

It is not an unprimeable number, because it can be changed into a prime (114752335157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200967027 + ... + 200967597.

It is an arithmetic number, because the mean of its divisors is an integer number (1153856704).

Almost surely, 2^114752335152 is an apocalyptic number.

114752335152 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 114752335152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184617072640).

114752335152 is an abundant number, since it is smaller than the sum of its proper divisors (254481810128).

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

114752335152 is a wasteful number, since it uses less digits than its factorization.

114752335152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The spelling of 114752335152 in words is "one hundred fourteen billion, seven hundred fifty-two million, three hundred thirty-five thousand, one hundred fifty-two".