121563992448 has 192 divisors, whose sum is σ = 367819246080. Its totient is φ = 38462561280.

The previous prime is 121563992447. The next prime is 121563992467. The reversal of 121563992448 is 844299365121.

It is a happy number.

121563992448 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 6 + 399 + 244 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121563992394 and 121563992403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121563992443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3453465 + ... + 3488487.

It is an arithmetic number, because the mean of its divisors is an integer number (1915725240).

Almost surely, 2^121563992448 is an apocalyptic number.

121563992448 is a gapful number since it is divisible by the number (18) 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 121563992448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183909623040).

121563992448 is an abundant number, since it is smaller than the sum of its proper divisors (246255253632).

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

121563992448 is a wasteful number, since it uses less digits than its factorization.

121563992448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35197 (or 35182 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 121563992448 in words is "one hundred twenty-one billion, five hundred sixty-three million, nine hundred ninety-two thousand, four hundred forty-eight".