1245985040169 has 81 divisors (see below), whose sum is σ = 1961200400133. Its totient is φ = 762113044224.

The previous prime is 1245985040143. The next prime is 1245985040177. The reversal of 1245985040169 is 9610405895421.

The square root of 1245985040169 is 1116237.

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

1245985040169 is a `hidden beast` number, since 1 + 2 + 4 + 598 + 5 + 0 + 40 + 1 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 437086265625 + 808898774544 = 661125^2 + 899388^2 .

It is not a de Polignac number, because 1245985040169 - 2⁵ = 1245985040137 is a prime.

It is a super-2 number, since 2×1245985040169² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1245985040869) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2447907487 + ... + 2447907995.

Almost surely, 2^{1245985040169} is an apocalyptic number.

1245985040169 is the 1116237-th square number.

1245985040169 is the 558119-th centered octagonal number.

It is an amenable number.

1245985040169 is a deficient number, since it is larger than the sum of its proper divisors (715215359964).

1245985040169 is an frugal number, since it uses more digits than its factorization.

1245985040169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1245985040169 in words is "one trillion, two hundred forty-five billion, nine hundred eighty-five million, forty thousand, one hundred sixty-nine".