114142522032 has 640 divisors, whose sum is σ = 422372966400. Its totient is φ = 28653004800.

The previous prime is 114142522031. The next prime is 114142522061. The reversal of 114142522032 is 230225241411.

114142522032 is a `hidden beast` number, since 1 + 1 + 414 + 25 + 220 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114142521987 and 114142522005.

It is not an unprimeable number, because it can be changed into a prime (114142522031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 173205319 + ... + 173205977.

It is an arithmetic number, because the mean of its divisors is an integer number (659957760).

Almost surely, 2^114142522032 is an apocalyptic number.

114142522032 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 114142522032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211186483200).

114142522032 is an abundant number, since it is smaller than the sum of its proper divisors (308230444368).

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

114142522032 is a wasteful number, since it uses less digits than its factorization.

114142522032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 114142522032 its reverse (230225241411), we get a palindrome (344367763443).

The spelling of 114142522032 in words is "one hundred fourteen billion, one hundred forty-two million, five hundred twenty-two thousand, thirty-two".