144164772964608 has 1152 divisors, whose sum is σ = 456907368153600. Its totient is φ = 39865968230400.

The previous prime is 144164772964603. The next prime is 144164772964631. The reversal of 144164772964608 is 806469277461441.

It is not an unprimeable number, because it can be changed into a prime (144164772964603) 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, 370603529278 + ... + 370603529666.

It is an arithmetic number, because the mean of its divisors is an integer number (396620979300).

Almost surely, 2^{144164772964608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144164772964608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228453684076800).

144164772964608 is an abundant number, since it is smaller than the sum of its proper divisors (312742595188992).

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

144164772964608 is a wasteful number, since it uses less digits than its factorization.

144164772964608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 69.

The spelling of 144164772964608 in words is "one hundred forty-four trillion, one hundred sixty-four billion, seven hundred seventy-two million, nine hundred sixty-four thousand, six hundred eight".