32214257696768 has 272 divisors, whose sum is σ = 78238565778240. Its totient is φ = 12993077182464.

The previous prime is 32214257696701. The next prime is 32214257696771. The reversal of 32214257696768 is 86769675241223.

It is a tau number, because it is divible by the number of its divisors (272).

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 32214257696698 and 32214257696707.

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 15 ways as a sum of consecutive naturals, for example, 2253841430 + ... + 2253855722.

Almost surely, 2^{32214257696768} 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 32214257696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39119282889120).

32214257696768 is an abundant number, since it is smaller than the sum of its proper divisors (46024308081472).

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

32214257696768 is an frugal number, since it uses more digits than its factorization.

32214257696768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14383 (or 14319 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 68.

The spelling of 32214257696768 in words is "thirty-two trillion, two hundred fourteen billion, two hundred fifty-seven million, six hundred ninety-six thousand, seven hundred sixty-eight".