144475583110740 has 768 divisors, whose sum is σ = 545684953497600. Its totient is φ = 30998740953600.

The previous prime is 144475583110679. The next prime is 144475583110847. The reversal of 144475583110740 is 47011385574441.

144475583110740 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 7 + 5 + 583 + 1 + 10 + 7 + 40 = 666.

It is a super-2 number, since 2×144475583110740² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7397234775 + ... + 7397254305.

It is an arithmetic number, because the mean of its divisors is an integer number (710527283200).

Almost surely, 2^{144475583110740} is an apocalyptic number.

144475583110740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144475583110740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272842476748800).

144475583110740 is an abundant number, since it is smaller than the sum of its proper divisors (401209370386860).

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

144475583110740 is a wasteful number, since it uses less digits than its factorization.

144475583110740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20513 (or 20505 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 144475583110740 in words is "one hundred forty-four trillion, four hundred seventy-five billion, five hundred eighty-three million, one hundred ten thousand, seven hundred forty".