144796820636160 has 3840 divisors, whose sum is σ = 694935521280000. Its totient is φ = 27512086855680.

The previous prime is 144796820636119. The next prime is 144796820636317. The reversal of 144796820636160 is 61636028697441.

144796820636160 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 9 + 6 + 8 + 2 + 0 + 6 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×144796820636160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47898384409 + ... + 47898387431.

It is an arithmetic number, because the mean of its divisors is an integer number (180972792000).

Almost surely, 2^{144796820636160} is an apocalyptic number.

144796820636160 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 144796820636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347467760640000).

144796820636160 is an abundant number, since it is smaller than the sum of its proper divisors (550138700643840).

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

144796820636160 is a wasteful number, since it uses less digits than its factorization.

144796820636160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 144796820636160 in words is "one hundred forty-four trillion, seven hundred ninety-six billion, eight hundred twenty million, six hundred thirty-six thousand, one hundred sixty".