114224115032400 has 120 divisors (see below), whose sum is σ = 365952888632160. Its totient is φ = 30455187653120.

The previous prime is 114224115032389. The next prime is 114224115032429. The reversal of 114224115032400 is 4230511422411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843574 + ... + 15138026.

It is an arithmetic number, because the mean of its divisors is an integer number (3049607405268).

Almost surely, 2^{114224115032400} is an apocalyptic number.

114224115032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114224115032400 is an abundant number, since it is smaller than the sum of its proper divisors (251728773599760).

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

114224115032400 is a wasteful number, since it uses less digits than its factorization.

114224115032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14301133 (or 14301122 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 114224115032400 its reverse (4230511422411), we get a palindrome (118454626454811).

The spelling of 114224115032400 in words is "one hundred fourteen trillion, two hundred twenty-four billion, one hundred fifteen million, thirty-two thousand, four hundred".