245800362800 has 240 divisors, whose sum is σ = 642708343200. Its totient is φ = 90027417600.

The previous prime is 245800362799. The next prime is 245800362803. The reversal of 245800362800 is 8263008542.

It is a super-2 number, since 2×245800362800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (245800362803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33960782 + ... + 33968018.

It is an arithmetic number, because the mean of its divisors is an integer number (2677951430).

Almost surely, 2^245800362800 is an apocalyptic number.

245800362800 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 245800362800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321354171600).

245800362800 is an abundant number, since it is smaller than the sum of its proper divisors (396907980400).

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

245800362800 is a wasteful number, since it uses less digits than its factorization.

245800362800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7424 (or 7413 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 245800362800 in words is "two hundred forty-five billion, eight hundred million, three hundred sixty-two thousand, eight hundred".