144649582678944 has 480 divisors, whose sum is σ = 507786656952960. Its totient is φ = 39529905887232.

The previous prime is 144649582678943. The next prime is 144649582679009. The reversal of 144649582678944 is 449876285946441.

144649582678944 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 495 + 8 + 2 + 6 + 7 + 89 + 44 = 666.

144649582678944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (144649582678943) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37782354 + ... + 41434350.

It is an arithmetic number, because the mean of its divisors is an integer number (1057888868652).

Almost surely, 2^{144649582678944} is an apocalyptic number.

144649582678944 is a gapful number since it is divisible by the number (14) 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 144649582678944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253893328476480).

144649582678944 is an abundant number, since it is smaller than the sum of its proper divisors (363137074274016).

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

144649582678944 is a wasteful number, since it uses less digits than its factorization.

144649582678944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652122 (or 3652105 counting only the distinct ones).

The product of its digits is 13377208320, while the sum is 81.

The spelling of 144649582678944 in words is "one hundred forty-four trillion, six hundred forty-nine billion, five hundred eighty-two million, six hundred seventy-eight thousand, nine hundred forty-four".