144933346272 has 192 divisors, whose sum is σ = 447306935040. Its totient is φ = 40509542400.

The previous prime is 144933346249. The next prime is 144933346339. The reversal of 144933346272 is 272643339441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22222372 + ... + 22228892.

It is an arithmetic number, because the mean of its divisors is an integer number (2329723620).

Almost surely, 2^144933346272 is an apocalyptic number.

144933346272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144933346272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223653467520).

144933346272 is an abundant number, since it is smaller than the sum of its proper divisors (302373588768).

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

144933346272 is a wasteful number, since it uses less digits than its factorization.

144933346272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8177 (or 8169 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 48.

The spelling of 144933346272 in words is "one hundred forty-four billion, nine hundred thirty-three million, three hundred forty-six thousand, two hundred seventy-two".