32425462480896 has 225 divisors, whose sum is σ = 96892718673751. Its totient is φ = 10806300868608.

The previous prime is 32425462480783. The next prime is 32425462480907. The reversal of 32425462480896 is 69808426452423.

The square root of 32425462480896 is 5694336.

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

32425462480896 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 5 + 4 + 62 + 480 + 8 + 96 = 666.

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 6559872601 + ... + 6559877543.

Almost surely, 2^{32425462480896} is an apocalyptic number.

32425462480896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32425462480896 is the 5694336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32425462480896

32425462480896 is an abundant number, since it is smaller than the sum of its proper divisors (64467256192855).

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

32425462480896 is an frugal number, since it uses more digits than its factorization.

32425462480896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9926 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 32425462480896 in words is "thirty-two trillion, four hundred twenty-five billion, four hundred sixty-two million, four hundred eighty thousand, eight hundred ninety-six".