144561164944 has 135 divisors (see below), whose sum is σ = 335774526633. Its totient is φ = 60116079744.

The previous prime is 144561164927. The next prime is 144561164977. The reversal of 144561164944 is 449461165441.

The square root of 144561164944 is 380212.

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

It can be written as a sum of positive squares in only one way, i.e., 129355315600 + 15205849344 = 359660^2 + 123312^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 393899449 + ... + 393899815.

Almost surely, 2^144561164944 is an apocalyptic number.

144561164944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144561164944 is the 380212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144561164944

144561164944 is an abundant number, since it is smaller than the sum of its proper divisors (191213361689).

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

144561164944 is an frugal number, since it uses more digits than its factorization.

144561164944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 413 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

Multiplying 144561164944 by its sum of digits (49), we get a square (7083497082256 = 2661484²).

144561164944 divided by its sum of digits (49) gives a square (2950227856 = 54316²).

The spelling of 144561164944 in words is "one hundred forty-four billion, five hundred sixty-one million, one hundred sixty-four thousand, nine hundred forty-four".