32978923201 has 9 divisors (see below), whose sum is σ = 38364716001. Its totient is φ = 28266558852.

The previous prime is 32978923189. The next prime is 32978923217. The reversal of 32978923201 is 10232987923.

The square root of 32978923201 is 181601.

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

It is not a de Polignac number, because 32978923201 - 2¹⁷ = 32978792129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32978921201) 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, 1258236 + ... + 1284178.

Almost surely, 2^32978923201 is an apocalyptic number.

32978923201 is the 181601-st square number.

32978923201 is the 90801-st centered octagonal number.

It is an amenable number.

32978923201 is a deficient number, since it is larger than the sum of its proper divisors (5385792800).

32978923201 is an frugal number, since it uses more digits than its factorization.

32978923201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51900 (or 25950 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 32978923201 in words is "thirty-two billion, nine hundred seventy-eight million, nine hundred twenty-three thousand, two hundred one".