1745791408656 has 135 divisors (see below), whose sum is σ = 4938306185709. Its totient is φ = 575741575296.

The previous prime is 1745791408639. The next prime is 1745791408681. The reversal of 1745791408656 is 6568041975471.

The square root of 1745791408656 is 1321284.

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

1745791408656 is a `hidden beast` number, since 1 + 7 + 4 + 579 + 1 + 4 + 0 + 8 + 6 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 816341162256 + 929450246400 = 903516^2 + 964080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1745791408593 and 1745791408602.

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 26 ways as a sum of consecutive naturals, for example, 1633106490 + ... + 1633107558.

Almost surely, 2^{1745791408656} is an apocalyptic number.

1745791408656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1745791408656 is the 1321284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1745791408656

1745791408656 is an abundant number, since it is smaller than the sum of its proper divisors (3192514777053).

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

1745791408656 is an equidigital number, since it uses as much as digits as its factorization.

1745791408656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 1745791408656 in words is "one trillion, seven hundred forty-five billion, seven hundred ninety-one million, four hundred eight thousand, six hundred fifty-six".