1102536644256 has 192 divisors, whose sum is σ = 3241333065600. Its totient is φ = 364590471168.

The previous prime is 1102536644219. The next prime is 1102536644263. The reversal of 1102536644256 is 6524466352011.

1102536644256 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 536 + 64 + 4 + 2 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210525670 + ... + 210530906.

It is an arithmetic number, because the mean of its divisors is an integer number (16881943050).

Almost surely, 2^{1102536644256} is an apocalyptic number.

1102536644256 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 1102536644256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620666532800).

1102536644256 is an abundant number, since it is smaller than the sum of its proper divisors (2138796421344).

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

1102536644256 is a wasteful number, since it uses less digits than its factorization.

1102536644256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1102536644256 in words is "one trillion, one hundred two billion, five hundred thirty-six million, six hundred forty-four thousand, two hundred fifty-six".