144924615479296 has 117 divisors (see below), whose sum is σ = 292157507202211. Its totient is φ = 71880994390016.

The previous prime is 144924615479213. The next prime is 144924615479297. The reversal of 144924615479296 is 692974516429441.

The square root of 144924615479296 is 12038464.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69543324061696 + 75381291417600 = 8339264^2 + 8682240^2 .

It is a Duffinian number.

Its product of digits (940584960) is a multiple of the sum of its prime divisors (1512).

It is not an unprimeable number, because it can be changed into a prime (144924615479297) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105553251666 + ... + 105553253038.

Almost surely, 2^{144924615479296} is an apocalyptic number.

144924615479296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144924615479296 is the 12038464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144924615479296

144924615479296 is an abundant number, since it is smaller than the sum of its proper divisors (147232891722915).

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

144924615479296 is an frugal number, since it uses more digits than its factorization.

144924615479296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 1512 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 73.

The spelling of 144924615479296 in words is "one hundred forty-four trillion, nine hundred twenty-four billion, six hundred fifteen million, four hundred seventy-nine thousand, two hundred ninety-six".