245552965632 has 432 divisors, whose sum is σ = 813301545420. Its totient is φ = 71095025664.

The previous prime is 245552965607. The next prime is 245552965663. The reversal of 245552965632 is 236569255542.

245552965632 is a `hidden beast` number, since 2 + 4 + 5 + 55 + 29 + 6 + 563 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39451493376 + 206101472256 = 198624^2 + 453984^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52952818 + ... + 52957454.

Almost surely, 2^245552965632 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 245552965632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406650772710).

245552965632 is an abundant number, since it is smaller than the sum of its proper divisors (567748579788).

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

245552965632 is a wasteful number, since it uses less digits than its factorization.

245552965632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4672 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The spelling of 245552965632 in words is "two hundred forty-five billion, five hundred fifty-two million, nine hundred sixty-five thousand, six hundred thirty-two".