114545047415184 has 135 divisors (see below), whose sum is σ = 325930682568387. Its totient is φ = 37553184633600.

The previous prime is 114545047415143. The next prime is 114545047415189. The reversal of 114545047415184 is 481514740545411.

The square root of 114545047415184 is 10702572.

It is a perfect power (a square), and thus also a powerful number.

114545047415184 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 5 + 0 + 47 + 415 + 184 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110330402653584 + 4214644761600 = 10503828^2 + 2052960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114545047415184.

It is not an unprimeable number, because it can be changed into a prime (114545047415189) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7834275394 + ... + 7834290014.

Almost surely, 2^{114545047415184} is an apocalyptic number.

114545047415184 is the 10702572-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114545047415184

114545047415184 is an abundant number, since it is smaller than the sum of its proper divisors (211385635153203).

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

114545047415184 is an frugal number, since it uses more digits than its factorization.

114545047415184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29378 (or 14687 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 114545047415184 in words is "one hundred fourteen trillion, five hundred forty-five billion, forty-seven million, four hundred fifteen thousand, one hundred eighty-four".