32148344342401 has 9 divisors (see below), whose sum is σ = 37397099792451. Its totient is φ = 27555689702352.

The previous prime is 32148344342383. The next prime is 32148344342417. The reversal of 32148344342401 is 10424344384123.

The square root of 32148344342401 is 5669951.

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., 30187717092225 + 1960627250176 = 5494335^2 + 1400224^2 .

It is not a de Polignac number, because 32148344342401 - 2⁹ = 32148344341889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32148344342431) 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, 39284661 + ... + 40094653.

Almost surely, 2^{32148344342401} is an apocalyptic number.

32148344342401 is the 5669951-st square number.

32148344342401 is the 2834976-th centered octagonal number.

It is an amenable number.

32148344342401 is a deficient number, since it is larger than the sum of its proper divisors (5248755450050).

32148344342401 is an frugal number, since it uses more digits than its factorization.

32148344342401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620000 (or 810000 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 43.

The spelling of 32148344342401 in words is "thirty-two trillion, one hundred forty-eight billion, three hundred forty-four million, three hundred forty-two thousand, four hundred one".