414523031413993 has 2 divisors, whose sum is σ = 414523031413994. Its totient is φ = 414523031413992.

The previous prime is 414523031413969. The next prime is 414523031414021. The reversal of 414523031413993 is 399314130325414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 224272099664089 + 190250931749904 = 14975717^2 + 13793148^2 .

It is a cyclic number.

It is not a de Polignac number, because 414523031413993 - 2³³ = 414514441479401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414523031413993.

It is not a weakly prime, because it can be changed into another prime (414523031513993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207261515706996 + 207261515706997.

It is an arithmetic number, because the mean of its divisors is an integer number (207261515706997).

Almost surely, 2^{414523031413993} is an apocalyptic number.

It is an amenable number.

414523031413993 is a deficient number, since it is larger than the sum of its proper divisors (1).

414523031413993 is an equidigital number, since it uses as much as digits as its factorization.

414523031413993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4199040, while the sum is 52.

The spelling of 414523031413993 in words is "four hundred fourteen trillion, five hundred twenty-three billion, thirty-one million, four hundred thirteen thousand, nine hundred ninety-three".