114505520144 has 20 divisors (see below), whose sum is σ = 234904707324. Its totient is φ = 53884950528.

The previous prime is 114505520117. The next prime is 114505520197. The reversal of 114505520144 is 441025505411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46586905600 + 67918614544 = 215840^2 + 260612^2 .

It is a super-2 number, since 2×114505520144² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114505520144.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210487817 + ... + 210488360.

Almost surely, 2^114505520144 is an apocalyptic number.

It is an amenable number.

114505520144 is an abundant number, since it is smaller than the sum of its proper divisors (120399187180).

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

114505520144 is a wasteful number, since it uses less digits than its factorization.

114505520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420976202 (or 420976196 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The spelling of 114505520144 in words is "one hundred fourteen billion, five hundred five million, five hundred twenty thousand, one hundred forty-four".