1103092064256 has 672 divisors, whose sum is σ = 3805368795648. Its totient is φ = 281416826880.

The previous prime is 1103092064231. The next prime is 1103092064267. The reversal of 1103092064256 is 6524602903011.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485301136 + ... + 485303408.

It is an arithmetic number, because the mean of its divisors is an integer number (5662751184).

Almost surely, 2^{1103092064256} is an apocalyptic number.

1103092064256 is a gapful number since it is divisible by the number (16) 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 1103092064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902684397824).

1103092064256 is an abundant number, since it is smaller than the sum of its proper divisors (2702276731392).

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

1103092064256 is a wasteful number, since it uses less digits than its factorization.

1103092064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

Adding to 1103092064256 its reverse (6524602903011), we get a palindrome (7627694967267).

The spelling of 1103092064256 in words is "one trillion, one hundred three billion, ninety-two million, sixty-four thousand, two hundred fifty-six".