144161734963584 has 768 divisors, whose sum is σ = 428219232629760. Its totient is φ = 42929794252800.

The previous prime is 144161734963559. The next prime is 144161734963591. The reversal of 144161734963584 is 485369437161441.

It is a happy number.

It is a super-2 number, since 2×144161734963584² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168216726484 + ... + 168216727340.

It is an arithmetic number, because the mean of its divisors is an integer number (557577125820).

Almost surely, 2^{144161734963584} 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 144161734963584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214109616314880).

144161734963584 is an abundant number, since it is smaller than the sum of its proper divisors (284057497666176).

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

144161734963584 is a wasteful number, since it uses less digits than its factorization.

144161734963584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1474 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 66.

The spelling of 144161734963584 in words is "one hundred forty-four trillion, one hundred sixty-one billion, seven hundred thirty-four million, nine hundred sixty-three thousand, five hundred eighty-four".