114003334144400 has 60 divisors (see below), whose sum is σ = 273894092013312. Its totient is φ = 45601153557120.

The previous prime is 114003334144379. The next prime is 114003334144429. The reversal of 114003334144400 is 4441433300411.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 153478697 + ... + 154219703.

Almost surely, 2^{114003334144400} is an apocalyptic number.

114003334144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114003334144400 is an abundant number, since it is smaller than the sum of its proper divisors (159890757868912).

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

114003334144400 is a wasteful number, since it uses less digits than its factorization.

114003334144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125648 (or 1125637 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 114003334144400 its reverse (4441433300411), we get a palindrome (118444767444811).

The spelling of 114003334144400 in words is "one hundred fourteen trillion, three billion, three hundred thirty-four million, one hundred forty-four thousand, four hundred".