144457301745 has 32 divisors (see below), whose sum is σ = 258388560000. Its totient is φ = 76571220672.

The previous prime is 144457301687. The next prime is 144457301749. The reversal of 144457301745 is 547103754441.

144457301745 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 573 + 0 + 1 + 74 + 5 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-144457301745 is a prime.

It is a super-3 number, since 3×144457301745³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144457301745.

It is not an unprimeable number, because it can be changed into a prime (144457301749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3260370 + ... + 3304379.

It is an arithmetic number, because the mean of its divisors is an integer number (8074642500).

Almost surely, 2^144457301745 is an apocalyptic number.

144457301745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144457301745 is a deficient number, since it is larger than the sum of its proper divisors (113931258255).

144457301745 is a wasteful number, since it uses less digits than its factorization.

144457301745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6564926 (or 6564920 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 144457301745 in words is "one hundred forty-four billion, four hundred fifty-seven million, three hundred one thousand, seven hundred forty-five".