114354565434420 has 192 divisors, whose sum is σ = 329315545956096. Its totient is φ = 29628090593280.

The previous prime is 114354565434413. The next prime is 114354565434449. The reversal of 114354565434420 is 24434565453411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6908380864 + ... + 6908397416.

It is an arithmetic number, because the mean of its divisors is an integer number (1715185135188).

Almost surely, 2^{114354565434420} is an apocalyptic number.

114354565434420 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 114354565434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164657772978048).

114354565434420 is an abundant number, since it is smaller than the sum of its proper divisors (214960980521676).

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

114354565434420 is a wasteful number, since it uses less digits than its factorization.

114354565434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20850 (or 20848 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 51.

The spelling of 114354565434420 in words is "one hundred fourteen trillion, three hundred fifty-four billion, five hundred sixty-five million, four hundred thirty-four thousand, four hundred twenty".