11409657856 has 39 divisors (see below), whose sum is σ = 22830209121. Its totient is φ = 5701410816.

The previous prime is 11409657841. The next prime is 11409657869. The reversal of 11409657856 is 65875690411.

The square root of 11409657856 is 106816.

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

It can be written as a sum of positive squares in only one way, i.e., 6086496256 + 5323161600 = 78016^2 + 72960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6835390 + ... + 6837058.

Almost surely, 2^11409657856 is an apocalyptic number.

11409657856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11409657856 is the 106816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11409657856

11409657856 is an abundant number, since it is smaller than the sum of its proper divisors (11420551265).

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

11409657856 is an frugal number, since it uses more digits than its factorization.

11409657856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 11409657856 in words is "eleven billion, four hundred nine million, six hundred fifty-seven thousand, eight hundred fifty-six".