245323200564 has 144 divisors (see below), whose sum is σ = 688228671312. Its totient is φ = 73191776256.

The previous prime is 245323200547. The next prime is 245323200571. The reversal of 245323200564 is 465002323542.

245323200564 is a `hidden beast` number, since 2 + 4 + 53 + 23 + 20 + 0 + 564 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 191268900 + 245131931664 = 13830^2 + 495108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5049412 + ... + 5097764.

It is an arithmetic number, because the mean of its divisors is an integer number (4779365773).

Almost surely, 2^245323200564 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 245323200564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344114335656).

245323200564 is an abundant number, since it is smaller than the sum of its proper divisors (442905470748).

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

245323200564 is a wasteful number, since it uses less digits than its factorization.

245323200564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48706 (or 48701 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 245323200564 in words is "two hundred forty-five billion, three hundred twenty-three million, two hundred thousand, five hundred sixty-four".