68512233404160 has 1152 divisors, whose sum is σ = 309547284480000. Its totient is φ = 13956850188288.

The previous prime is 68512233404101. The next prime is 68512233404179. The reversal of 68512233404160 is 6140433221586.

68512233404160 is a `hidden beast` number, since 6 + 8 + 5 + 1 + 2 + 233 + 404 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×68512233404160³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90828241 + ... + 91579439.

It is an arithmetic number, because the mean of its divisors is an integer number (268704240000).

Almost surely, 2^{68512233404160} is an apocalyptic number.

68512233404160 is a gapful number since it is divisible by the number (60) 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 68512233404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154773642240000).

68512233404160 is an abundant number, since it is smaller than the sum of its proper divisors (241035051075840).

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

68512233404160 is a wasteful number, since it uses less digits than its factorization.

68512233404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751278 (or 751258 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 68512233404160 in words is "sixty-eight trillion, five hundred twelve billion, two hundred thirty-three million, four hundred four thousand, one hundred sixty".