114201620206245 has 384 divisors, whose sum is σ = 236872610537472. Its totient is φ = 50171606323200.

The previous prime is 114201620206237. The next prime is 114201620206277. The reversal of 114201620206245 is 542602026102411.

114201620206245 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 0 + 1 + 6 + 2 + 0 + 20 + 624 + 5 = 666.

It is not a de Polignac number, because 114201620206245 - 2³ = 114201620206237 is a prime.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 65146388289 + ... + 65146390041.

It is an arithmetic number, because the mean of its divisors is an integer number (616855756608).

Almost surely, 2^{114201620206245} is an apocalyptic number.

114201620206245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114201620206245 is an abundant number, since it is smaller than the sum of its proper divisors (122670990331227).

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

114201620206245 is a wasteful number, since it uses less digits than its factorization.

114201620206245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 114201620206245 its reverse (542602026102411), we get a palindrome (656803646308656).

The spelling of 114201620206245 in words is "one hundred fourteen trillion, two hundred one billion, six hundred twenty million, two hundred six thousand, two hundred forty-five".