144828808847760 has 320 divisors, whose sum is σ = 451688290099200. Its totient is φ = 38387992780800.

The previous prime is 144828808847729. The next prime is 144828808847831. The reversal of 144828808847760 is 67748808828441.

It is a super-2 number, since 2×144828808847760² (a number of 29 digits) contains 22 as substring.

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, 74233114785 + ... + 74233116735.

It is an arithmetic number, because the mean of its divisors is an integer number (1411525906560).

Almost surely, 2^{144828808847760} is an apocalyptic number.

144828808847760 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 144828808847760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225844145049600).

144828808847760 is an abundant number, since it is smaller than the sum of its proper divisors (306859481251440).

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

144828808847760 is a wasteful number, since it uses less digits than its factorization.

144828808847760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 1233125376, while the sum is 75.

The spelling of 144828808847760 in words is "one hundred forty-four trillion, eight hundred twenty-eight billion, eight hundred eight million, eight hundred forty-seven thousand, seven hundred sixty".