114201514400 has 72 divisors (see below), whose sum is σ = 281668807980. Its totient is φ = 45209640960.

The previous prime is 114201514393. The next prime is 114201514457. The reversal of 114201514400 is 4415102411.

It can be written as a sum of positive squares in 6 ways, for example, as 74356563856 + 39844950544 = 272684^2 + 199612^2 .

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 11 ways as a sum of consecutive naturals, for example, 658235 + ... + 813434.

Almost surely, 2^114201514400 is an apocalyptic number.

114201514400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114201514400 is an abundant number, since it is smaller than the sum of its proper divisors (167467293580).

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

114201514400 is a wasteful number, since it uses less digits than its factorization.

114201514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471786 (or 1471773 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 114201514400 its reverse (4415102411), we get a palindrome (118616616811).

The spelling of 114201514400 in words is "one hundred fourteen billion, two hundred one million, five hundred fourteen thousand, four hundred".