245772314920 has 128 divisors (see below), whose sum is σ = 617142240000. Its totient is φ = 87337543680.

The previous prime is 245772314897. The next prime is 245772314927. The reversal of 245772314920 is 29413277542.

245772314920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×245772314920² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245772314927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3465981 + ... + 3536179.

It is an arithmetic number, because the mean of its divisors is an integer number (4821423750).

Almost surely, 2^245772314920 is an apocalyptic number.

245772314920 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 245772314920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308571120000).

245772314920 is an abundant number, since it is smaller than the sum of its proper divisors (371369925080).

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

245772314920 is a wasteful number, since it uses less digits than its factorization.

245772314920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70403 (or 70399 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 245772314920 in words is "two hundred forty-five billion, seven hundred seventy-two million, three hundred fourteen thousand, nine hundred twenty".