245813961600 has 768 divisors, whose sum is σ = 962540625600. Its totient is φ = 61046784000.

The previous prime is 245813961599. The next prime is 245813961629. The reversal of 245813961600 is 6169318542.

245813961600 is a `hidden beast` number, since 2 + 4 + 5 + 8 + 1 + 39 + 6 + 1 + 600 = 666.

245813961600 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 (45).

It is a congruent number.

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, 148347972 + ... + 148349628.

Almost surely, 2^245813961600 is an apocalyptic number.

245813961600 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 245813961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481270312800).

245813961600 is an abundant number, since it is smaller than the sum of its proper divisors (716726664000).

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

245813961600 is a wasteful number, since it uses less digits than its factorization.

245813961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 245813961600 in words is "two hundred forty-five billion, eight hundred thirteen million, nine hundred sixty-one thousand, six hundred".