246400228368 has 400 divisors, whose sum is σ = 859369104000. Its totient is φ = 66582964224.

The previous prime is 246400228357. The next prime is 246400228379. The reversal of 246400228368 is 863822004642.

246400228368 is a `hidden beast` number, since 2 + 4 + 64 + 0 + 0 + 228 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (246400228357) and next prime (246400228379).

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 79 ways as a sum of consecutive naturals, for example, 191155468 + ... + 191156756.

It is an arithmetic number, because the mean of its divisors is an integer number (2148422760).

Almost surely, 2^246400228368 is an apocalyptic number.

246400228368 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 246400228368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429684552000).

246400228368 is an abundant number, since it is smaller than the sum of its proper divisors (612968875632).

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

246400228368 is a wasteful number, since it uses less digits than its factorization.

246400228368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 246400228368 in words is "two hundred forty-six billion, four hundred million, two hundred twenty-eight thousand, three hundred sixty-eight".