68146862402304 has 288 divisors, whose sum is σ = 238252924224000. Its totient is φ = 18799134068736.

The previous prime is 68146862402293. The next prime is 68146862402309. The reversal of 68146862402304 is 40320426864186.

It is a happy number.

68146862402304 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 6 + 8 + 624 + 0 + 2 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (68146862402309) 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, 22880634 + ... + 25686905.

It is an arithmetic number, because the mean of its divisors is an integer number (827267098000).

Almost surely, 2^{68146862402304} is an apocalyptic number.

68146862402304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

68146862402304 is an abundant number, since it is smaller than the sum of its proper divisors (170106061821696).

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

68146862402304 is a wasteful number, since it uses less digits than its factorization.

68146862402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48567600 (or 48567580 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 68146862402304 in words is "sixty-eight trillion, one hundred forty-six billion, eight hundred sixty-two million, four hundred two thousand, three hundred four".