114314040320100 has 288 divisors, whose sum is σ = 357620262088320. Its totient is φ = 28094556119040.

The previous prime is 114314040320069. The next prime is 114314040320101. The reversal of 114314040320100 is 1023040413411.

It is not an unprimeable number, because it can be changed into a prime (114314040320101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1526245852 + ... + 1526320748.

It is an arithmetic number, because the mean of its divisors is an integer number (1241737021140).

Almost surely, 2^{114314040320100} is an apocalyptic number.

114314040320100 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 114314040320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178810131044160).

114314040320100 is an abundant number, since it is smaller than the sum of its proper divisors (243306221768220).

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

114314040320100 is a wasteful number, since it uses less digits than its factorization.

114314040320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82207 (or 82200 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114314040320100 its reverse (1023040413411), we get a palindrome (115337080733511).

The spelling of 114314040320100 in words is "one hundred fourteen trillion, three hundred fourteen billion, forty million, three hundred twenty thousand, one hundred".