1105388281872 has 900 divisors, whose sum is σ = 3923495286480. Its totient is φ = 299478332160.

The previous prime is 1105388281871. The next prime is 1105388281883. The reversal of 1105388281872 is 2781828835011.

1105388281872 is a `hidden beast` number, since 1 + 1 + 0 + 538 + 8 + 28 + 1 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1105388281871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3600613143 + ... + 3600613449.

Almost surely, 2^{1105388281872} is an apocalyptic number.

1105388281872 is a gapful number since it is divisible by the number (12) 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 1105388281872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961747643240).

1105388281872 is an abundant number, since it is smaller than the sum of its proper divisors (2818107004608).

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

1105388281872 is a wasteful number, since it uses less digits than its factorization.

1105388281872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 1105388281872 in words is "one trillion, one hundred five billion, three hundred eighty-eight million, two hundred eighty-one thousand, eight hundred seventy-two".