144776263016 has 128 divisors (see below), whose sum is σ = 344701992960. Its totient is φ = 55369305600.

The previous prime is 144776262973. The next prime is 144776263067. The reversal of 144776263016 is 610362677441.

144776263016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10183385 + ... + 10197591.

It is an arithmetic number, because the mean of its divisors is an integer number (2692984320).

Almost surely, 2^144776263016 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 144776263016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172350996480).

144776263016 is an abundant number, since it is smaller than the sum of its proper divisors (199925729944).

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

144776263016 is a wasteful number, since it uses less digits than its factorization.

144776263016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14535 (or 14531 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 144776263016 in words is "one hundred forty-four billion, seven hundred seventy-six million, two hundred sixty-three thousand, sixteen".