114300314221401 has 128 divisors (see below), whose sum is σ = 212680329523200. Its totient is φ = 58937407764480.

The previous prime is 114300314221391. The next prime is 114300314221447. The reversal of 114300314221401 is 104122413003411.

It is a happy number.

114300314221401 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 0 + 0 + 31 + 4 + 221 + 401 = 666.

It is not a de Polignac number, because 114300314221401 - 2⁶ = 114300314221337 is a prime.

It is a super-3 number, since 3×114300314221401³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114300314221801) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1489080715 + ... + 1489157471.

It is an arithmetic number, because the mean of its divisors is an integer number (1661565074400).

Almost surely, 2^{114300314221401} is an apocalyptic number.

114300314221401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114300314221401 is a deficient number, since it is larger than the sum of its proper divisors (98380015301799).

114300314221401 is a wasteful number, since it uses less digits than its factorization.

114300314221401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82076 (or 82070 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114300314221401 its reverse (104122413003411), we get a palindrome (218422727224812).

The spelling of 114300314221401 in words is "one hundred fourteen trillion, three hundred billion, three hundred fourteen million, two hundred twenty-one thousand, four hundred one".