144967427418564 has 27 divisors (see below), whose sum is σ = 366445624140687. Its totient is φ = 48322451725704.

The previous prime is 144967427418533. The next prime is 144967427418589. The reversal of 144967427418564 is 465814724769441.

The square root of 144967427418564 is 12040242.

It is a perfect power (a square), and thus also a powerful number.

144967427418564 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 6 + 7 + 42 + 7 + 4 + 18 + 564 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144967427418492 and 144967427418501.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71238099 + ... + 73244805.

Almost surely, 2^{144967427418564} is an apocalyptic number.

144967427418564 is the 12040242-nd square number.

It is an amenable number.

144967427418564 is an abundant number, since it is smaller than the sum of its proper divisors (221478196722123).

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

144967427418564 is an frugal number, since it uses more digits than its factorization.

144967427418564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013424 (or 2006712 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 144967427418564 in words is "one hundred forty-four trillion, nine hundred sixty-seven billion, four hundred twenty-seven million, four hundred eighteen thousand, five hundred sixty-four".