114088338195720 has 512 divisors, whose sum is σ = 395333568000000. Its totient is φ = 25800568602624.

The previous prime is 114088338195719. The next prime is 114088338195721. The reversal of 114088338195720 is 27591833880411.

It is an interprime number because it is at equal distance from previous prime (114088338195719) and next prime (114088338195721).

It is a super-2 number, since 2×114088338195720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (114088338195721) 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, 70906362276 + ... + 70906363884.

It is an arithmetic number, because the mean of its divisors is an integer number (772135875000).

Almost surely, 2^{114088338195720} is an apocalyptic number.

114088338195720 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 114088338195720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197666784000000).

114088338195720 is an abundant number, since it is smaller than the sum of its proper divisors (281245229804280).

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

114088338195720 is a wasteful number, since it uses less digits than its factorization.

114088338195720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 114088338195720 in words is "one hundred fourteen trillion, eighty-eight billion, three hundred thirty-eight million, one hundred ninety-five thousand, seven hundred twenty".