114030000434504 has 192 divisors, whose sum is σ = 280784521543680. Its totient is φ = 42171242256000.

The previous prime is 114030000434473. The next prime is 114030000434599. The reversal of 114030000434504 is 405434000030411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41352569 + ... + 44023799.

It is an arithmetic number, because the mean of its divisors is an integer number (1462419383040).

Almost surely, 2^{114030000434504} is an apocalyptic number.

114030000434504 is a gapful number since it is divisible by the number (14) 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 114030000434504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140392260771840).

114030000434504 is an abundant number, since it is smaller than the sum of its proper divisors (166754521109176).

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

114030000434504 is a wasteful number, since it uses less digits than its factorization.

114030000434504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671432 (or 2671405 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 114030000434504 its reverse (405434000030411), we get a palindrome (519464000464915).

The spelling of 114030000434504 in words is "one hundred fourteen trillion, thirty billion, four hundred thirty-four thousand, five hundred four".