68046001000000 has 441 divisors, whose sum is σ = 172655403713013. Its totient is φ = 26607974400000.

The previous prime is 68046000999989. The next prime is 68046001000031. The reversal of 68046001000000 is 10064086.

The square root of 68046001000000 is 8249000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 31 ways, for example, as 3378155776576 + 64667845223424 = 1837976^2 + 8041632^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 602176999944 + ... + 602177000056.

Almost surely, 2^{68046001000000} is an apocalyptic number.

68046001000000 is the 8249000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68046001000000

68046001000000 is an abundant number, since it is smaller than the sum of its proper divisors (104609402713013).

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

68046001000000 is an frugal number, since it uses more digits than its factorization.

68046001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

68046001000000 divided by its sum of digits (25) gives a square (2721840040000 = 1649800²).

Adding to 68046001000000 its reverse (10064086), we get a palindrome (68046011064086).

The spelling of 68046001000000 in words is "sixty-eight trillion, forty-six billion, one million", and thus it is an aban number and an uban number.