114090713091300 has 432 divisors, whose sum is σ = 373970750965056. Its totient is φ = 26818159104000.

The previous prime is 114090713091263. The next prime is 114090713091301. The reversal of 114090713091300 is 3190317090411.

It is a super-3 number, since 3×114090713091300³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (114090713091301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 242357752 + ... + 242828048.

Almost surely, 2^{114090713091300} is an apocalyptic number.

114090713091300 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 114090713091300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186985375482528).

114090713091300 is an abundant number, since it is smaller than the sum of its proper divisors (259880037873756).

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

114090713091300 is a wasteful number, since it uses less digits than its factorization.

114090713091300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470540 (or 470522 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The spelling of 114090713091300 in words is "one hundred fourteen trillion, ninety billion, seven hundred thirteen million, ninety-one thousand, three hundred".