414876996132997 has 2 divisors, whose sum is σ = 414876996132998. Its totient is φ = 414876996132996.

The previous prime is 414876996132959. The next prime is 414876996133003. The reversal of 414876996132997 is 799231699678414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408977858686401 + 5899137446596 = 20223201^2 + 2428814^2 .

It is a cyclic number.

It is not a de Polignac number, because 414876996132997 - 2²³ = 414876987744389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414876996132917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207438498066498 + 207438498066499.

It is an arithmetic number, because the mean of its divisors is an integer number (207438498066499).

Almost surely, 2^{414876996132997} is an apocalyptic number.

It is an amenable number.

414876996132997 is a deficient number, since it is larger than the sum of its proper divisors (1).

414876996132997 is an equidigital number, since it uses as much as digits as its factorization.

414876996132997 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8888527872, while the sum is 85.

The spelling of 414876996132997 in words is "four hundred fourteen trillion, eight hundred seventy-six billion, nine hundred ninety-six million, one hundred thirty-two thousand, nine hundred ninety-seven".