32132935262464 has 81 divisors (see below), whose sum is σ = 64388790821901. Its totient is φ = 16004475909120.

The previous prime is 32132935262447. The next prime is 32132935262471. The reversal of 32132935262464 is 46426253923123.

The square root of 32132935262464 is 5668592.

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., 18705694200064 + 13427241062400 = 4325008^2 + 3664320^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31472022274 + ... + 31472023294.

Almost surely, 2^{32132935262464} is an apocalyptic number.

32132935262464 is the 5668592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32132935262464

32132935262464 is an abundant number, since it is smaller than the sum of its proper divisors (32255855559437).

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

32132935262464 is an frugal number, since it uses more digits than its factorization.

32132935262464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 1370 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 52.

The spelling of 32132935262464 in words is "thirty-two trillion, one hundred thirty-two billion, nine hundred thirty-five million, two hundred sixty-two thousand, four hundred sixty-four".