245989948184816 has 320 divisors, whose sum is σ = 590115249956736. Its totient is φ = 98009844940800.

The previous prime is 245989948184809. The next prime is 245989948184819. The reversal of 245989948184816 is 618481849989542.

It is a super-3 number, since 3×245989948184816³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245989948184819) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240048506 + ... + 241071078.

Almost surely, 2^{245989948184816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245989948184816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295057624978368).

245989948184816 is an abundant number, since it is smaller than the sum of its proper divisors (344125301771920).

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

245989948184816 is a wasteful number, since it uses less digits than its factorization.

245989948184816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022740 (or 1022734 counting only the distinct ones).

The product of its digits is 11466178560, while the sum is 86.

The spelling of 245989948184816 in words is "two hundred forty-five trillion, nine hundred eighty-nine billion, nine hundred forty-eight million, one hundred eighty-four thousand, eight hundred sixteen".