245217016800 has 1728 divisors, whose sum is σ = 1105579238400. Its totient is φ = 49854873600.

The previous prime is 245217016799. The next prime is 245217016823. The reversal of 245217016800 is 8610712542.

245217016800 is a `hidden beast` number, since 2 + 4 + 521 + 70 + 1 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1764151131 + ... + 1764151269.

It is an arithmetic number, because the mean of its divisors is an integer number (639802800).

Almost surely, 2^245217016800 is an apocalyptic number.

245217016800 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 245217016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552789619200).

245217016800 is an abundant number, since it is smaller than the sum of its proper divisors (860362221600).

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

245217016800 is a wasteful number, since it uses less digits than its factorization.

245217016800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 245217016800 in words is "two hundred forty-five billion, two hundred seventeen million, sixteen thousand, eight hundred".