245833824044928 has 768 divisors, whose sum is σ = 782699314176000. Its totient is φ = 66959880007680.

The previous prime is 245833824044917. The next prime is 245833824044951. The reversal of 245833824044928 is 829440428338542.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52947192175 + ... + 52947196817.

It is an arithmetic number, because the mean of its divisors is an integer number (1019139732000).

Almost surely, 2^{245833824044928} is an apocalyptic number.

245833824044928 is a gapful number since it is divisible by the number (28) 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 245833824044928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391349657088000).

245833824044928 is an abundant number, since it is smaller than the sum of its proper divisors (536865490131072).

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

245833824044928 is a wasteful number, since it uses less digits than its factorization.

245833824044928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 66.

The spelling of 245833824044928 in words is "two hundred forty-five trillion, eight hundred thirty-three billion, eight hundred twenty-four million, forty-four thousand, nine hundred twenty-eight".