114054416316 has 72 divisors (see below), whose sum is σ = 290581331040. Its totient is φ = 37718948736.

The previous prime is 114054416279. The next prime is 114054416369. The reversal of 114054416316 is 613614450411.

114054416316 is a `hidden beast` number, since 1 + 1 + 40 + 544 + 1 + 63 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2523630 + ... + 2568426.

It is an arithmetic number, because the mean of its divisors is an integer number (4035851820).

Almost surely, 2^114054416316 is an apocalyptic number.

It is an amenable number.

114054416316 is an abundant number, since it is smaller than the sum of its proper divisors (176526914724).

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

114054416316 is a wasteful number, since it uses less digits than its factorization.

114054416316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45363 (or 45358 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 114054416316 its reverse (613614450411), we get a palindrome (727668866727).

The spelling of 114054416316 in words is "one hundred fourteen billion, fifty-four million, four hundred sixteen thousand, three hundred sixteen".