144704746516704 has 48 divisors (see below), whose sum is σ = 414381774119040. Its totient is φ = 43849923186560.

The previous prime is 144704746516679. The next prime is 144704746516709. The reversal of 144704746516704 is 407615647407441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144704746516709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68515503924 + ... + 68515506035.

It is an arithmetic number, because the mean of its divisors is an integer number (8632953627480).

Almost surely, 2^{144704746516704} is an apocalyptic number.

It is an amenable number.

144704746516704 is an abundant number, since it is smaller than the sum of its proper divisors (269677027602336).

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

144704746516704 is a wasteful number, since it uses less digits than its factorization.

144704746516704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137031009983 (or 137031009975 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 60.

The spelling of 144704746516704 in words is "one hundred forty-four trillion, seven hundred four billion, seven hundred forty-six million, five hundred sixteen thousand, seven hundred four".