245469509376 has 432 divisors, whose sum is σ = 823548448800. Its totient is φ = 64717406208.

The previous prime is 245469509371. The next prime is 245469509377. The reversal of 245469509376 is 673905964542.

245469509376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245469509371) 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 47 ways as a sum of consecutive naturals, for example, 82676020 + ... + 82678988.

It is an arithmetic number, because the mean of its divisors is an integer number (1906362150).

Almost surely, 2^245469509376 is an apocalyptic number.

245469509376 is a gapful number since it is divisible by the number (26) 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 245469509376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411774224400).

245469509376 is an abundant number, since it is smaller than the sum of its proper divisors (578078939424).

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

245469509376 is an equidigital number, since it uses as much as digits as its factorization.

245469509376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 60.

The spelling of 245469509376 in words is "two hundred forty-five billion, four hundred sixty-nine million, five hundred nine thousand, three hundred seventy-six".