32138091441 has 15 divisors (see below), whose sum is σ = 48011164201. Its totient is φ = 21424318668.

The previous prime is 32138091431. The next prime is 32138091451. The reversal of 32138091441 is 14419083123.

The square root of 32138091441 is 179271.

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

It is an interprime number because it is at equal distance from previous prime (32138091431) and next prime (32138091451).

It is not a de Polignac number, because 32138091441 - 2³¹ = 29990607793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32138091396 and 32138091405.

It is not an unprimeable number, because it can be changed into a prime (32138091431) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1603480 + ... + 1623398.

Almost surely, 2^32138091441 is an apocalyptic number.

32138091441 is the 179271-st square number.

32138091441 is the 89636-th centered octagonal number.

It is an amenable number.

32138091441 is a deficient number, since it is larger than the sum of its proper divisors (15873072760).

32138091441 is an frugal number, since it uses more digits than its factorization.

32138091441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39850 (or 19922 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 32138091441 by its sum of digits (36), we get a square (1156971291876 = 1075626²).

Multiplying 32138091441 by its product of nonzero digits (20736), we get a square (666415464120576 = 25815024²).

The spelling of 32138091441 in words is "thirty-two billion, one hundred thirty-eight million, ninety-one thousand, four hundred forty-one".