114133378401 has 32 divisors (see below), whose sum is σ = 195888869120. Its totient is φ = 64325653632.

The previous prime is 114133378369. The next prime is 114133378427. The reversal of 114133378401 is 104873331411.

It is a happy number.

114133378401 is a `hidden beast` number, since 114 + 133 + 3 + 7 + 8 + 401 = 666.

It is not a de Polignac number, because 114133378401 - 2⁵ = 114133378369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114133378501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4122370 + ... + 4149963.

It is an arithmetic number, because the mean of its divisors is an integer number (6121527160).

Almost surely, 2^114133378401 is an apocalyptic number.

It is an amenable number.

114133378401 is a deficient number, since it is larger than the sum of its proper divisors (81755490719).

114133378401 is an equidigital number, since it uses as much as digits as its factorization.

114133378401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272422 (or 8272416 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 114133378401 in words is "one hundred fourteen billion, one hundred thirty-three million, three hundred seventy-eight thousand, four hundred one".