245034772000 has 96 divisors (see below), whose sum is σ = 602335122480. Its totient is φ = 97967564800.

The previous prime is 245034771929. The next prime is 245034772009. The reversal of 245034772000 is 277430542.

It can be written as a sum of positive squares in 8 ways, for example, as 55569575824 + 189465196176 = 235732^2 + 435276^2 .

It is not an unprimeable number, because it can be changed into a prime (245034772009) 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 15 ways as a sum of consecutive naturals, for example, 9174666 + ... + 9201334.

Almost surely, 2^245034772000 is an apocalyptic number.

245034772000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245034772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301167561240).

245034772000 is an abundant number, since it is smaller than the sum of its proper divisors (357300350480).

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

245034772000 is a wasteful number, since it uses less digits than its factorization.

245034772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28991 (or 28973 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The spelling of 245034772000 in words is "two hundred forty-five billion, thirty-four million, seven hundred seventy-two thousand".