245791243800 has 384 divisors, whose sum is σ = 884762419200. Its totient is φ = 63426499200.

The previous prime is 245791243759. The next prime is 245791243811. The reversal of 245791243800 is 8342197542.

245791243800 is a `hidden beast` number, since 24 + 579 + 1 + 24 + 38 + 0 + 0 = 666.

245791243800 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, 13550337 + ... + 13568463.

It is an arithmetic number, because the mean of its divisors is an integer number (2304068800).

Almost surely, 2^245791243800 is an apocalyptic number.

245791243800 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 245791243800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442381209600).

245791243800 is an abundant number, since it is smaller than the sum of its proper divisors (638971175400).

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

245791243800 is a wasteful number, since it uses less digits than its factorization.

245791243800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18195 (or 18168 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 245791243800 in words is "two hundred forty-five billion, seven hundred ninety-one million, two hundred forty-three thousand, eight hundred".