144440634164624 has 60 divisors (see below), whose sum is σ = 325545709081500. Its totient is φ = 61902829304064.

The previous prime is 144440634164611. The next prime is 144440634164797. The reversal of 144440634164624 is 426461436044441.

It can be written as a sum of positive squares in 2 ways, for example, as 110879467924624 + 33561166240000 = 10529932^2 + 5793200^2 .

It is a super-2 number, since 2×144440634164624² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254664902 + ... + 255231450.

It is an arithmetic number, because the mean of its divisors is an integer number (5425761818025).

Almost surely, 2^{144440634164624} is an apocalyptic number.

144440634164624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144440634164624 is an abundant number, since it is smaller than the sum of its proper divisors (181105074916876).

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

144440634164624 is a wasteful number, since it uses less digits than its factorization.

144440634164624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891760 (or 891747 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 53.

The spelling of 144440634164624 in words is "one hundred forty-four trillion, four hundred forty billion, six hundred thirty-four million, one hundred sixty-four thousand, six hundred twenty-four".