245816347104 has 192 divisors, whose sum is σ = 740600340480. Its totient is φ = 79241172480.

The previous prime is 245816347103. The next prime is 245816347121. The reversal of 245816347104 is 401743618542.

245816347104 is a `hidden beast` number, since 2 + 4 + 5 + 8 + 1 + 634 + 7 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 245816347104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245816347103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61253002 + ... + 61257014.

It is an arithmetic number, because the mean of its divisors is an integer number (3857293440).

Almost surely, 2^245816347104 is an apocalyptic number.

245816347104 is a gapful number since it is divisible by the number (24) 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 245816347104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370300170240).

245816347104 is an abundant number, since it is smaller than the sum of its proper divisors (494783993376).

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

245816347104 is a wasteful number, since it uses less digits than its factorization.

245816347104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 245816347104 in words is "two hundred forty-five billion, eight hundred sixteen million, three hundred forty-seven thousand, one hundred four".