32266830552100 has 81 divisors (see below), whose sum is σ = 70264310326483. Its totient is φ = 12861675367360.

The previous prime is 32266830552079. The next prime is 32266830552101. The reversal of 32266830552100 is 125503866223.

The square root of 32266830552100 is 5680390.

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 15066368297764 + 17200462254336 = 3881542^2 + 4147344^2 .

It is a super-2 number, since 2×32266830552100² (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 (32266830552101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19710952482 + ... + 19710954118.

Almost surely, 2^{32266830552100} is an apocalyptic number.

32266830552100 is the 5680390-th square number.

It is an amenable number.

32266830552100 is an abundant number, since it is smaller than the sum of its proper divisors (37997479774383).

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

32266830552100 is an frugal number, since it uses more digits than its factorization.

32266830552100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 32266830552100 in words is "thirty-two trillion, two hundred sixty-six billion, eight hundred thirty million, five hundred fifty-two thousand, one hundred".