114335313520 has 120 divisors (see below), whose sum is σ = 289609499520. Its totient is φ = 41929090560.

The previous prime is 114335313511. The next prime is 114335313523. The reversal of 114335313520 is 25313533411.

It is a happy number.

It is a super-3 number, since 3×114335313520³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114335313523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831426 + ... + 959134.

It is an arithmetic number, because the mean of its divisors is an integer number (2413412496).

Almost surely, 2^114335313520 is an apocalyptic number.

114335313520 is a gapful number since it is divisible by the number (10) 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 114335313520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144804749760).

114335313520 is an abundant number, since it is smaller than the sum of its proper divisors (175274186000).

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

114335313520 is a wasteful number, since it uses less digits than its factorization.

114335313520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127791 (or 127766 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 114335313520 its reverse (25313533411), we get a palindrome (139648846931).

The spelling of 114335313520 in words is "one hundred fourteen billion, three hundred thirty-five million, three hundred thirteen thousand, five hundred twenty".