11046084309225 has 189 divisors, whose sum is σ = 23895985716117. Its totient is φ = 5048202761280.

The previous prime is 11046084309193. The next prime is 11046084309241. The reversal of 11046084309225 is 52290348064011.

The square root of 11046084309225 is 3323565.

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

11046084309225 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 608 + 4 + 30 + 9 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2010914016489 + 9035170292736 = 1418067^2 + 3005856^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 11046084309225 - 2⁵ = 11046084309193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3140767167 + ... + 3140770683.

Almost surely, 2^{11046084309225} is an apocalyptic number.

11046084309225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11046084309225 is the 3323565-th square number.

11046084309225 is the 1661783-rd centered octagonal number.

It is an amenable number.

11046084309225 is an abundant number, since it is smaller than the sum of its proper divisors (12849901406892).

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

11046084309225 is an frugal number, since it uses more digits than its factorization.

11046084309225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11046084309225 in words is "eleven trillion, forty-six billion, eighty-four million, three hundred nine thousand, two hundred twenty-five".