144964014305 has 24 divisors (see below), whose sum is σ = 191236550400. Its totient is φ = 105413036960.

The previous prime is 144964014289. The next prime is 144964014319. The reversal of 144964014305 is 503410469441.

It is not a de Polignac number, because 144964014305 - 2⁴ = 144964014289 is a prime.

It is a super-3 number, since 3×144964014305³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5685776 + ... + 5711214.

It is an arithmetic number, because the mean of its divisors is an integer number (7968189600).

Almost surely, 2^144964014305 is an apocalyptic number.

It is an amenable number.

144964014305 is a deficient number, since it is larger than the sum of its proper divisors (46272536095).

144964014305 is a wasteful number, since it uses less digits than its factorization.

144964014305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34885 (or 34874 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 144964014305 in words is "one hundred forty-four billion, nine hundred sixty-four million, fourteen thousand, three hundred five".