1089969408256 has 81 divisors (see below), whose sum is σ = 2275190744281. Its totient is φ = 521105970176.

The previous prime is 1089969408173. The next prime is 1089969408301. The reversal of 1089969408256 is 6528049699801.

The square root of 1089969408256 is 1044016.

It is a perfect power (a square), and thus also a powerful number.

1089969408256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37326240000 + 1052643168256 = 193200^2 + 1025984^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1089969408191 and 1089969408200.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 384196470 + ... + 384199306.

Almost surely, 2^{1089969408256} is an apocalyptic number.

1089969408256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1089969408256 is the 1044016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089969408256

1089969408256 is an abundant number, since it is smaller than the sum of its proper divisors (1185221336025).

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

1089969408256 is an frugal number, since it uses more digits than its factorization.

1089969408256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 67.

The spelling of 1089969408256 in words is "one trillion, eighty-nine billion, nine hundred sixty-nine million, four hundred eight thousand, two hundred fifty-six".