144827978279088 has 320 divisors, whose sum is σ = 411019884154880. Its totient is φ = 43676304482304.

The previous prime is 144827978278999. The next prime is 144827978279119. The reversal of 144827978279088 is 880972879728441.

It is a super-2 number, since 2×144827978279088² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144827978279088.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6564281145 + ... + 6564303207.

It is an arithmetic number, because the mean of its divisors is an integer number (1284437137984).

Almost surely, 2^{144827978279088} 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 144827978279088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205509942077440).

144827978279088 is an abundant number, since it is smaller than the sum of its proper divisors (266191905875792).

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

144827978279088 is a wasteful number, since it uses less digits than its factorization.

144827978279088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23236 (or 23230 counting only the distinct ones).

The product of its (nonzero) digits is 7283146752, while the sum is 84.

The spelling of 144827978279088 in words is "one hundred forty-four trillion, eight hundred twenty-seven billion, nine hundred seventy-eight million, two hundred seventy-nine thousand, eighty-eight".