245661696 has 288 divisors, whose sum is σ = 874105830. Its totient is φ = 66060288.

The previous prime is 245661683. The next prime is 245661733. The reversal of 245661696 is 696166542.

245661696 is a `hidden beast` number, since 24 + 5 + 6 + 616 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 180633600 + 65028096 = 13440^2 + 8064^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14450680 + ... + 14450696.

Almost surely, 2^245661696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437052915).

245661696 is an abundant number, since it is smaller than the sum of its proper divisors (628444134).

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

245661696 is an equidigital number, since it uses as much as digits as its factorization.

245661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 29 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 245661696 is about 15673.5986933442. The cubic root of 245661696 is about 626.2952942726.

It can be divided in two parts, 24566 and 1696, that added together give a palindrome (26262).

The spelling of 245661696 in words is "two hundred forty-five million, six hundred sixty-one thousand, six hundred ninety-six".