1745268418256 has 60 divisors (see below), whose sum is σ = 3717390392100. Its totient is φ = 793179678720.

The previous prime is 1745268418253. The next prime is 1745268418319. The reversal of 1745268418256 is 6528148625471.

It can be written as a sum of positive squares in 2 ways, for example, as 1032621792400 + 712646625856 = 1016180^2 + 844184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1745268418195 and 1745268418204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1745268418253) 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 11 ways as a sum of consecutive naturals, for example, 12921440 + ... + 13055808.

It is an arithmetic number, because the mean of its divisors is an integer number (61956506535).

Almost surely, 2^{1745268418256} is an apocalyptic number.

1745268418256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1745268418256 is an abundant number, since it is smaller than the sum of its proper divisors (1972121973844).

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

1745268418256 is a wasteful number, since it uses less digits than its factorization.

1745268418256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141108 (or 141091 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 59.

The spelling of 1745268418256 in words is "one trillion, seven hundred forty-five billion, two hundred sixty-eight million, four hundred eighteen thousand, two hundred fifty-six".