114601533024 has 96 divisors (see below), whose sum is σ = 328360386816. Its totient is φ = 34708344320.

The previous prime is 114601533023. The next prime is 114601533031. The reversal of 114601533024 is 420335106411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114601533024² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114601532982 and 114601533000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114601533023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1921054 + ... + 1979810.

It is an arithmetic number, because the mean of its divisors is an integer number (3420420696).

Almost surely, 2^114601533024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114601533024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164180193408).

114601533024 is an abundant number, since it is smaller than the sum of its proper divisors (213758853792).

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

114601533024 is a wasteful number, since it uses less digits than its factorization.

114601533024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60628 (or 60620 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 114601533024 its reverse (420335106411), we get a palindrome (534936639435).

The spelling of 114601533024 in words is "one hundred fourteen billion, six hundred one million, five hundred thirty-three thousand, twenty-four".