144077166480 has 320 divisors, whose sum is σ = 510672314880. Its totient is φ = 33288388608.

The previous prime is 144077166407. The next prime is 144077166487. The reversal of 144077166480 is 84661770441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (144077166487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20629069 + ... + 20636051.

It is an arithmetic number, because the mean of its divisors is an integer number (1595850984).

Almost surely, 2^144077166480 is an apocalyptic number.

144077166480 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 144077166480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255336157440).

144077166480 is an abundant number, since it is smaller than the sum of its proper divisors (366595148400).

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

144077166480 is a wasteful number, since it uses less digits than its factorization.

144077166480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7418 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 144077166480 in words is "one hundred forty-four billion, seventy-seven million, one hundred sixty-six thousand, four hundred eighty".