414165542345 has 16 divisors (see below), whose sum is σ = 508641664320. Its totient is φ = 323641965504.

The previous prime is 414165542333. The next prime is 414165542347. The reversal of 414165542345 is 543245561414.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414165542345 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414165542296 and 414165542305.

It is not an unprimeable number, because it can be changed into a prime (414165542347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4424867 + ... + 4517496.

It is an arithmetic number, because the mean of its divisors is an integer number (31790104020).

Almost surely, 2^414165542345 is an apocalyptic number.

It is an amenable number.

414165542345 is a deficient number, since it is larger than the sum of its proper divisors (94476121975).

414165542345 is a wasteful number, since it uses less digits than its factorization.

414165542345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8942584.

The product of its digits is 1152000, while the sum is 44.

The spelling of 414165542345 in words is "four hundred fourteen billion, one hundred sixty-five million, five hundred forty-two thousand, three hundred forty-five".