32906142442331 has 16 divisors (see below), whose sum is σ = 33615189823488. Its totient is φ = 32202894794400.

The previous prime is 32906142442273. The next prime is 32906142442351. The reversal of 32906142442331 is 13324424160923.

It is a cyclic number.

It is not a de Polignac number, because 32906142442331 - 2³⁰ = 32905068700507 is a prime.

It is a super-2 number, since 2×32906142442331² (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 (32906142442351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10649006 + ... + 13387068.

It is an arithmetic number, because the mean of its divisors is an integer number (2100949363968).

Almost surely, 2^{32906142442331} is an apocalyptic number.

32906142442331 is a deficient number, since it is larger than the sum of its proper divisors (709047381157).

32906142442331 is a wasteful number, since it uses less digits than its factorization.

32906142442331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739122.

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 32906142442331 in words is "thirty-two trillion, nine hundred six billion, one hundred forty-two million, four hundred forty-two thousand, three hundred thirty-one".