144254148810345 has 128 divisors (see below), whose sum is σ = 297969145896960. Its totient is φ = 64847005920000.

The previous prime is 144254148810329. The next prime is 144254148810349. The reversal of 144254148810345 is 543018841452441.

144254148810345 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 5 + 414 + 88 + 103 + 45 = 666.

It is not a de Polignac number, because 144254148810345 - 2⁴ = 144254148810329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144254148810291 and 144254148810300.

It is not an unprimeable number, because it can be changed into a prime (144254148810349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 225129670 + ... + 225769520.

It is an arithmetic number, because the mean of its divisors is an integer number (2327883952320).

Almost surely, 2^{144254148810345} is an apocalyptic number.

144254148810345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144254148810345 is an abundant number, since it is smaller than the sum of its proper divisors (153714997086615).

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

144254148810345 is a wasteful number, since it uses less digits than its factorization.

144254148810345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643844 (or 643838 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 144254148810345 in words is "one hundred forty-four trillion, two hundred fifty-four billion, one hundred forty-eight million, eight hundred ten thousand, three hundred forty-five".