1964104146225 has 81 divisors (see below), whose sum is σ = 3809884918593. Its totient is φ = 966809039040.

The previous prime is 1964104146223. The next prime is 1964104146233. The reversal of 1964104146225 is 5226414014691.

The square root of 1964104146225 is 1401465.

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

1964104146225 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 1 + 0 + 4 + 14 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 506250749169 + 1457853397056 = 711513^2 + 1207416^2 .

It is not a de Polignac number, because 1964104146225 - 2¹ = 1964104146223 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1964104146223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 273282082 + ... + 273289268.

Almost surely, 2^{1964104146225} is an apocalyptic number.

1964104146225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1964104146225 is the 1401465-th square number.

1964104146225 is the 700733-rd centered octagonal number.

It is an amenable number.

1964104146225 is a deficient number, since it is larger than the sum of its proper divisors (1845780772368).

1964104146225 is an frugal number, since it uses more digits than its factorization.

1964104146225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14416 (or 7208 counting only the distinct ones).

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

The spelling of 1964104146225 in words is "one trillion, nine hundred sixty-four billion, one hundred four million, one hundred forty-six thousand, two hundred twenty-five".