32068201218048 has 1152 divisors, whose sum is σ = 104367307161600. Its totient is φ = 9700953292800.

The previous prime is 32068201217981. The next prime is 32068201218089. The reversal of 32068201218048 is 84081210286023.

32068201218048 is a `hidden beast` number, since 320 + 6 + 8 + 201 + 2 + 1 + 80 + 48 = 666.

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

It is a super-2 number, since 2×32068201218048² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32068201217994 and 32068201218012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179151962023 + ... + 179151962201.

It is an arithmetic number, because the mean of its divisors is an integer number (90596620800).

Almost surely, 2^{32068201218048} 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 32068201218048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52183653580800).

32068201218048 is an abundant number, since it is smaller than the sum of its proper divisors (72299105943552).

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

32068201218048 is an equidigital number, since it uses as much as digits as its factorization.

32068201218048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 32068201218048 in words is "thirty-two trillion, sixty-eight billion, two hundred one million, two hundred eighteen thousand, forty-eight".