617613661456 has 135 divisors (see below), whose sum is σ = 1344575200143. Its totient is φ = 274619304960.

The previous prime is 617613661451. The next prime is 617613661487. The reversal of 617613661456 is 654166316716.

The square root of 617613661456 is 785884.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69155856 + 617544505600 = 8316^2 + 785840^2 .

It is a Duffinian number.

Its product of digits (3265920) is a multiple of the sum of its prime factors (810).

It is not an unprimeable number, because it can be changed into a prime (617613661451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1832681320 + ... + 1832681656.

Almost surely, 2^617613661456 is an apocalyptic number.

617613661456 is the 785884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 617613661456

617613661456 is an abundant number, since it is smaller than the sum of its proper divisors (726961538687).

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

617613661456 is an equidigital number, since it uses as much as digits as its factorization.

617613661456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 403 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The spelling of 617613661456 in words is "six hundred seventeen billion, six hundred thirteen million, six hundred sixty-one thousand, four hundred fifty-six".