144410001999952 has 160 divisors (see below), whose sum is σ = 306453450397472. Its totient is φ = 65524018839552.

The previous prime is 144410001999947. The next prime is 144410001999953. The reversal of 144410001999952 is 259999100014441.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 95338351826496 + 49071650173456 = 9764136^2 + 7005116^2 .

It is a super-3 number, since 3×144410001999952³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144410001999953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19693164478 + ... + 19693171810.

Almost surely, 2^{144410001999952} 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 144410001999952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153226725198736).

144410001999952 is an abundant number, since it is smaller than the sum of its proper divisors (162043448397520).

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

144410001999952 is a wasteful number, since it uses less digits than its factorization.

144410001999952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13825 (or 13819 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 58.

The spelling of 144410001999952 in words is "one hundred forty-four trillion, four hundred ten billion, one million, nine hundred ninety-nine thousand, nine hundred fifty-two".