144818675456 has 576 divisors, whose sum is σ = 387060473856. Its totient is φ = 52553318400.

The previous prime is 144818675453. The next prime is 144818675459. The reversal of 144818675456 is 654576818441.

It is an interprime number because it is at equal distance from previous prime (144818675453) and next prime (144818675459).

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 144818675395 and 144818675404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144818675453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1983817436 + ... + 1983817508.

Almost surely, 2^144818675456 is an apocalyptic number.

144818675456 is a gapful number since it is divisible by the number (16) 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 144818675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193530236928).

144818675456 is an abundant number, since it is smaller than the sum of its proper divisors (242241798400).

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

144818675456 is a wasteful number, since it uses less digits than its factorization.

144818675456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 59.

The spelling of 144818675456 in words is "one hundred forty-four billion, eight hundred eighteen million, six hundred seventy-five thousand, four hundred fifty-six".