245646814896 has 480 divisors, whose sum is σ = 833513616000. Its totient is φ = 67426007040.

The previous prime is 245646814873. The next prime is 245646814901. The reversal of 245646814896 is 698418646542.

245646814896 is a `hidden beast` number, since 2 + 4 + 564 + 68 + 1 + 4 + 8 + 9 + 6 = 666.

245646814896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 454060386 + ... + 454060926.

It is an arithmetic number, because the mean of its divisors is an integer number (1736486700).

Almost surely, 2^245646814896 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 245646814896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416756808000).

245646814896 is an abundant number, since it is smaller than the sum of its proper divisors (587866801104).

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

245646814896 is a wasteful number, since it uses less digits than its factorization.

245646814896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 899 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 245646814896 in words is "two hundred forty-five billion, six hundred forty-six million, eight hundred fourteen thousand, eight hundred ninety-six".