1146045186225 has 243 divisors, whose sum is σ = 2243331454273. Its totient is φ = 559213226880.

The previous prime is 1146045186197. The next prime is 1146045186239. The reversal of 1146045186225 is 5226815406411.

The square root of 1146045186225 is 1070535.

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

1146045186225 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 0 + 4 + 5 + 18 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15753011121 + 1130292175104 = 125511^2 + 1063152^2 .

It is not a de Polignac number, because 1146045186225 - 2⁵ = 1146045186193 is a prime.

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

It is a Duffinian number.

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 242 ways as a sum of consecutive naturals, for example, 10710702622 + ... + 10710702728.

Almost surely, 2^{1146045186225} is an apocalyptic number.

1146045186225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1146045186225 is the 1070535-th square number.

1146045186225 is the 535268-th centered octagonal number.

It is an amenable number.

1146045186225 is a deficient number, since it is larger than the sum of its proper divisors (1097286268048).

1146045186225 is a wasteful number, since it uses less digits than its factorization.

1146045186225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1146045186225 in words is "one trillion, one hundred forty-six billion, forty-five million, one hundred eighty-six thousand, two hundred twenty-five".