114224154242544 has 120 divisors (see below), whose sum is σ = 320494250965824. Its totient is φ = 37976440320000.

The previous prime is 114224154242533. The next prime is 114224154242573. The reversal of 114224154242544 is 445242451422411.

114224154242544 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 41 + 542 + 4 + 25 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114224154242544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709073529 + ... + 709234599.

Almost surely, 2^{114224154242544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114224154242544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160247125482912).

114224154242544 is an abundant number, since it is smaller than the sum of its proper divisors (206270096723280).

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

114224154242544 is a wasteful number, since it uses less digits than its factorization.

114224154242544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173767 (or 173758 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 45.

The spelling of 114224154242544 in words is "one hundred fourteen trillion, two hundred twenty-four billion, one hundred fifty-four million, two hundred forty-two thousand, five hundred forty-four".