2346978040225 has 225 divisors, whose sum is σ = 3780099625197. Its totient is φ = 1445409463680.

The previous prime is 2346978040217. The next prime is 2346978040229. The reversal of 2346978040225 is 5220408796432.

The square root of 2346978040225 is 1531985.

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

It can be written as a sum of positive squares in 22 ways, for example, as 1869364359009 + 477613681216 = 1367247^2 + 691096^2 .

It is not a de Polignac number, because 2346978040225 - 2³ = 2346978040217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2346978040229) by changing a digit.

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 224 ways as a sum of consecutive naturals, for example, 63431838907 + ... + 63431838943.

Almost surely, 2^{2346978040225} is an apocalyptic number.

2346978040225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2346978040225 is the 1531985-th square number.

2346978040225 is the 765993-rd centered octagonal number.

It is an amenable number.

2346978040225 is a deficient number, since it is larger than the sum of its proper divisors (1433121584972).

2346978040225 is an frugal number, since it uses more digits than its factorization.

2346978040225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 2346978040225 in words is "two trillion, three hundred forty-six billion, nine hundred seventy-eight million, forty thousand, two hundred twenty-five".