245767770744064 has 144 divisors (see below), whose sum is σ = 513420172650000. Its totient is φ = 117288619868160.

The previous prime is 245767770744053. The next prime is 245767770744131. The reversal of 245767770744064 is 460447077767542.

It can be written as a sum of positive squares in 8 ways, for example, as 12184232510464 + 233583538233600 = 3490592^2 + 15283440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 245767770743984 and 245767770744002.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3574821562 + ... + 3574890310.

It is an arithmetic number, because the mean of its divisors is an integer number (3565417865625).

Almost surely, 2^{245767770744064} 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 245767770744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256710086325000).

245767770744064 is an abundant number, since it is smaller than the sum of its proper divisors (267652401905936).

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

245767770744064 is an equidigital number, since it uses as much as digits as its factorization.

245767770744064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75976 (or 75962 counting only the distinct ones).

The product of its (nonzero) digits is 1548933120, while the sum is 70.

The spelling of 245767770744064 in words is "two hundred forty-five trillion, seven hundred sixty-seven billion, seven hundred seventy million, seven hundred forty-four thousand, sixty-four".