1101288248424 has 288 divisors, whose sum is σ = 3956311424520. Its totient is φ = 273364180992.

The previous prime is 1101288248393. The next prime is 1101288248443. The reversal of 1101288248424 is 4248428821011.

1101288248424 is a `hidden beast` number, since 1 + 101 + 2 + 8 + 82 + 48 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 589390927524 + 511897320900 = 767718^2 + 715470^2 .

It is a super-2 number, since 2×1101288248424² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1101288248424.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73452 + ... + 1485924.

Almost surely, 2^{1101288248424} is an apocalyptic number.

1101288248424 is a gapful number since it is divisible by the number (14) 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 1101288248424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978155712260).

1101288248424 is an abundant number, since it is smaller than the sum of its proper divisors (2855023176096).

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

1101288248424 is a wasteful number, since it uses less digits than its factorization.

1101288248424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412529 (or 1412515 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 1101288248424 in words is "one trillion, one hundred one billion, two hundred eighty-eight million, two hundred forty-eight thousand, four hundred twenty-four".