1105256705472 has 392 divisors, whose sum is σ = 3402250947072. Its totient is φ = 355714675200.

The previous prime is 1105256705471. The next prime is 1105256705489. The reversal of 1105256705472 is 2745076525011.

1105256705472 is a `hidden beast` number, since 1 + 1 + 0 + 52 + 56 + 7 + 0 + 547 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105256705471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1138265947 + ... + 1138266917.

Almost surely, 2^{1105256705472} is an apocalyptic number.

1105256705472 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 1105256705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701125473536).

1105256705472 is an abundant number, since it is smaller than the sum of its proper divisors (2296994241600).

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

1105256705472 is an frugal number, since it uses more digits than its factorization.

1105256705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 1105256705472 in words is "one trillion, one hundred five billion, two hundred fifty-six million, seven hundred five thousand, four hundred seventy-two".