144649974934080 has 4032 divisors, whose sum is σ = 694233234100224. Its totient is φ = 27797420851200.

The previous prime is 144649974934079. The next prime is 144649974934109. The reversal of 144649974934080 is 80439479946441.

144649974934080 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 4 + 9 + 97 + 493 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-4 number, since 4×144649974934080⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 132342154014 + ... + 132342155106.

It is an arithmetic number, because the mean of its divisors is an integer number (172180861632).

Almost surely, 2^{144649974934080} is an apocalyptic number.

144649974934080 is a gapful number since it is divisible by the number (10) 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 144649974934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347116617050112).

144649974934080 is an abundant number, since it is smaller than the sum of its proper divisors (549583259166144).

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

144649974934080 is a wasteful number, since it uses less digits than its factorization.

144649974934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 144649974934080 in words is "one hundred forty-four trillion, six hundred forty-nine billion, nine hundred seventy-four million, nine hundred thirty-four thousand, eighty".