32951916621376 has 189 divisors, whose sum is σ = 68650921991379. Its totient is φ = 15692442909696.

The previous prime is 32951916621341. The next prime is 32951916621419. The reversal of 32951916621376 is 67312661915923.

The square root of 32951916621376 is 5740376.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1667135462976 + 31284781158400 = 1291176^2 + 5593280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 145162628175 + ... + 145162628401.

Almost surely, 2^{32951916621376} is an apocalyptic number.

32951916621376 is the 5740376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32951916621376

32951916621376 is an abundant number, since it is smaller than the sum of its proper divisors (35699005370003).

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

32951916621376 is an frugal number, since it uses more digits than its factorization.

32951916621376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 367 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 61.

The spelling of 32951916621376 in words is "thirty-two trillion, nine hundred fifty-one billion, nine hundred sixteen million, six hundred twenty-one thousand, three hundred seventy-six".