245541333000 has 256 divisors, whose sum is σ = 788576705280. Its totient is φ = 63571200000.

The previous prime is 245541332999. The next prime is 245541333061. The reversal of 245541333000 is 333145542.

It is a super-2 number, since 2×245541333000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 25948270 + ... + 25957730.

It is an arithmetic number, because the mean of its divisors is an integer number (3080377755).

Almost surely, 2^245541333000 is an apocalyptic number.

245541333000 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 245541333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394288352640).

245541333000 is an abundant number, since it is smaller than the sum of its proper divisors (543035372280).

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

245541333000 is a wasteful number, since it uses less digits than its factorization.

245541333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9737 (or 9723 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 245541333000 its reverse (333145542), we get a palindrome (245874478542).

The spelling of 245541333000 in words is "two hundred forty-five billion, five hundred forty-one million, three hundred thirty-three thousand".