121743464448 has 192 divisors, whose sum is σ = 337611456000. Its totient is φ = 38978813952.

The previous prime is 121743464417. The next prime is 121743464467. The reversal of 121743464448 is 844464347121.

121743464448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×121743464448² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121743464397 and 121743464406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17955523 + ... + 17962301.

It is an arithmetic number, because the mean of its divisors is an integer number (1758393000).

Almost surely, 2^121743464448 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 121743464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168805728000).

121743464448 is an abundant number, since it is smaller than the sum of its proper divisors (215867991552).

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

121743464448 is an equidigital number, since it uses as much as digits as its factorization.

121743464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6900 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The spelling of 121743464448 in words is "one hundred twenty-one billion, seven hundred forty-three million, four hundred sixty-four thousand, four hundred forty-eight".