114233140420320 has 384 divisors, whose sum is σ = 368167335782400. Its totient is φ = 29763623854080.

The previous prime is 114233140420307. The next prime is 114233140420393. The reversal of 114233140420320 is 23024041332411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8278356781 + ... + 8278370579.

It is an arithmetic number, because the mean of its divisors is an integer number (958769103600).

Almost surely, 2^{114233140420320} is an apocalyptic number.

114233140420320 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 114233140420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184083667891200).

114233140420320 is an abundant number, since it is smaller than the sum of its proper divisors (253934195362080).

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

114233140420320 is a wasteful number, since it uses less digits than its factorization.

114233140420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15738 (or 15730 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 114233140420320 its reverse (23024041332411), we get a palindrome (137257181752731).

The spelling of 114233140420320 in words is "one hundred fourteen trillion, two hundred thirty-three billion, one hundred forty million, four hundred twenty thousand, three hundred twenty".