11254154600448 has 336 divisors, whose sum is σ = 34894194820056. Its totient is φ = 3482320896000.

The previous prime is 11254154600401. The next prime is 11254154600459. The reversal of 11254154600448 is 84400645145211.

11254154600448 is a `hidden beast` number, since 1 + 1 + 2 + 54 + 154 + 6 + 0 + 0 + 448 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9877493551104 + 1376661049344 = 3142848^2 + 1173312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91434948 + ... + 91557948.

Almost surely, 2^{11254154600448} is an apocalyptic number.

11254154600448 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 11254154600448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447097410028).

11254154600448 is an abundant number, since it is smaller than the sum of its proper divisors (23640040219608).

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

11254154600448 is a wasteful number, since it uses less digits than its factorization.

11254154600448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123123 (or 123096 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

Adding to 11254154600448 its reverse (84400645145211), we get a palindrome (95654799745659).

The spelling of 11254154600448 in words is "eleven trillion, two hundred fifty-four billion, one hundred fifty-four million, six hundred thousand, four hundred forty-eight".