1096628734656 has 1008 divisors, whose sum is σ = 4155803159040. Its totient is φ = 269913047040.

The previous prime is 1096628734639. The next prime is 1096628734697. The reversal of 1096628734656 is 6564378266901.

1096628734656 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 6 + 287 + 346 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1096628734593 and 1096628734602.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 919218796 + ... + 919219988.

It is a 1-persistent number, because it is pandigital, but 2⋅1096628734656 = 2193257469312 is not.

Almost surely, 2^{1096628734656} is an apocalyptic number.

1096628734656 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 1096628734656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077901579520).

1096628734656 is an abundant number, since it is smaller than the sum of its proper divisors (3059174424384).

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

1096628734656 is a wasteful number, since it uses less digits than its factorization.

1096628734656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 1096628734656 in words is "one trillion, ninety-six billion, six hundred twenty-eight million, seven hundred thirty-four thousand, six hundred fifty-six".