246745338508864 has 224 divisors, whose sum is σ = 574352202332160. Its totient is φ = 104114703532032.

The previous prime is 246745338508769. The next prime is 246745338508883. The reversal of 246745338508864 is 468805833547642.

It is a super-3 number, since 3×246745338508864³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 317271717 + ... + 318048475.

It is an arithmetic number, because the mean of its divisors is an integer number (2564072331840).

Almost surely, 2^{246745338508864} 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 246745338508864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287176101166080).

246745338508864 is an abundant number, since it is smaller than the sum of its proper divisors (327606863823296).

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

246745338508864 is a wasteful number, since it uses less digits than its factorization.

246745338508864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777445 (or 777435 counting only the distinct ones).

The product of its (nonzero) digits is 3715891200, while the sum is 73.

The spelling of 246745338508864 in words is "two hundred forty-six trillion, seven hundred forty-five billion, three hundred thirty-eight million, five hundred eight thousand, eight hundred sixty-four".