1011218143248 has 210 divisors, whose sum is σ = 2965112104794. Its totient is φ = 333934534656.

The previous prime is 1011218143237. The next prime is 1011218143261. The reversal of 1011218143248 is 8423418121101.

1011218143248 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 181 + 432 + 48 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 244241547264 + 766976595984 = 494208^2 + 875772^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 41 ways as a sum of consecutive naturals, for example, 138576336 + ... + 138583632.

Almost surely, 2^{1011218143248} is an apocalyptic number.

1011218143248 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 1011218143248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482556052397).

1011218143248 is an abundant number, since it is smaller than the sum of its proper divisors (1953893961546).

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

1011218143248 is an frugal number, since it uses more digits than its factorization.

1011218143248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541 (or 7411 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 1011218143248 in words is "one trillion, eleven billion, two hundred eighteen million, one hundred forty-three thousand, two hundred forty-eight".