114224115032401 has 24 divisors (see below), whose sum is σ = 127629903441152. Its totient is φ = 102122163871200.

The previous prime is 114224115032389. The next prime is 114224115032429. The reversal of 114224115032401 is 104230511422411.

It is not a de Polignac number, because 114224115032401 - 2¹⁵ = 114224114999633 is a prime.

It is a super-2 number, since 2×114224115032401² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114224115038401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47141536 + ... + 49505278.

Almost surely, 2^{114224115032401} is an apocalyptic number.

114224115032401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114224115032401 is a deficient number, since it is larger than the sum of its proper divisors (13405788408751).

114224115032401 is a wasteful number, since it uses less digits than its factorization.

114224115032401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370373 (or 2370362 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 114224115032401 its reverse (104230511422411), we get a palindrome (218454626454812).

The spelling of 114224115032401 in words is "one hundred fourteen trillion, two hundred twenty-four billion, one hundred fifteen million, thirty-two thousand, four hundred one".