144689105927808 has 768 divisors, whose sum is σ = 483691302057600. Its totient is φ = 42746451148800.

The previous prime is 144689105927791. The next prime is 144689105927851. The reversal of 144689105927808 is 808729501986441.

144689105927808 is a `hidden beast` number, since 1 + 4 + 468 + 9 + 1 + 0 + 5 + 92 + 78 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2122409563 + ... + 2122477733.

Almost surely, 2^{144689105927808} is an apocalyptic number.

144689105927808 is a gapful number since it is divisible by the number (18) 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 144689105927808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241845651028800).

144689105927808 is an abundant number, since it is smaller than the sum of its proper divisors (339002196129792).

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

144689105927808 is a wasteful number, since it uses less digits than its factorization.

144689105927808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68423 (or 68399 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 144689105927808 in words is "one hundred forty-four trillion, six hundred eighty-nine billion, one hundred five million, nine hundred twenty-seven thousand, eight hundred eight".