31450946832001 has 2 divisors, whose sum is σ = 31450946832002. Its totient is φ = 31450946832000.

The previous prime is 31450946831989. The next prime is 31450946832131. The reversal of 31450946832001 is 10023864905413.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31267612145025 + 183334686976 = 5591745^2 + 428176^2 .

It is a cyclic number.

It is not a de Polignac number, because 31450946832001 - 2¹³ = 31450946823809 is a prime.

It is a super-3 number, since 3×31450946832001³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (31450946832301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15725473416000 + 15725473416001.

It is an arithmetic number, because the mean of its divisors is an integer number (15725473416001).

Almost surely, 2^{31450946832001} is an apocalyptic number.

It is an amenable number.

31450946832001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31450946832001 is an equidigital number, since it uses as much as digits as its factorization.

31450946832001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 31450946832001 in words is "thirty-one trillion, four hundred fifty billion, nine hundred forty-six million, eight hundred thirty-two thousand, one".