11285400390625 has 45 divisors (see below), whose sum is σ = 14442443847183. Its totient is φ = 8818359375000.

The previous prime is 11285400390601. The next prime is 11285400390637. The reversal of 11285400390625 is 52609300458211.

The square root of 11285400390625 is 3359375.

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

It can be written as a sum of positive squares in 7 ways, for example, as 10804691128401 + 480709262224 = 3287049^2 + 693332^2 .

It is not a de Polignac number, because 11285400390625 - 2²⁵ = 11285366836193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 262451171854 + ... + 262451171896.

Almost surely, 2^{11285400390625} is an apocalyptic number.

11285400390625 is the 3359375-th square number.

11285400390625 is the 1679688-th centered octagonal number.

It is an amenable number.

11285400390625 is a deficient number, since it is larger than the sum of its proper divisors (3157043456558).

11285400390625 is an frugal number, since it uses more digits than its factorization.

11285400390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 11285400390625 in words is "eleven trillion, two hundred eighty-five billion, four hundred million, three hundred ninety thousand, six hundred twenty-five".