416122676505 has 12 divisors (see below), whose sum is σ = 721279306020. Its totient is φ = 221932094112.

The previous prime is 416122676477. The next prime is 416122676537. The reversal of 416122676505 is 505676221614.

416122676505 is a `hidden beast` number, since 4 + 1 + 61 + 22 + 67 + 6 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 324544417344 + 91578259161 = 569688^2 + 302619^2 .

It is not a de Polignac number, because 416122676505 - 2⁶ = 416122676441 is a prime.

It is a super-3 number, since 3×416122676505³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 9247170589 = 416122676505 / (4 + 1 + 6 + 1 + 2 + 2 + 6 + 7 + 6 + 5 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4623585250 + ... + 4623585339.

It is an arithmetic number, because the mean of its divisors is an integer number (60106608835).

Almost surely, 2^416122676505 is an apocalyptic number.

416122676505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416122676505 is a deficient number, since it is larger than the sum of its proper divisors (305156629515).

416122676505 is a wasteful number, since it uses less digits than its factorization.

416122676505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247170600 (or 9247170597 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 416122676505 in words is "four hundred sixteen billion, one hundred twenty-two million, six hundred seventy-six thousand, five hundred five".