32935386412096 has 63 divisors (see below), whose sum is σ = 76027292325477. Its totient is φ = 14115027870720.

The previous prime is 32935386412091. The next prime is 32935386412111. The reversal of 32935386412096 is 69021468353923.

The square root of 32935386412096 is 5738936.

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

It can be written as a sum of positive squares in only one way, i.e., 32831341458496 + 104044953600 = 5729864^2 + 322560^2 .

It is a super-2 number, since 2×32935386412096² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32935386412091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 321329176 + ... + 321431656.

Almost surely, 2^{32935386412096} is an apocalyptic number.

32935386412096 is the 5738936-th square number.

It is an amenable number.

32935386412096 is an abundant number, since it is smaller than the sum of its proper divisors (43091905913381).

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

32935386412096 is an frugal number, since it uses more digits than its factorization.

32935386412096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204988 (or 102490 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 61.

The spelling of 32935386412096 in words is "thirty-two trillion, nine hundred thirty-five billion, three hundred eighty-six million, four hundred twelve thousand, ninety-six".