416466052563 has 48 divisors (see below), whose sum is σ = 617281868448. Its totient is φ = 249547584000.

The previous prime is 416466052553. The next prime is 416466052577. The reversal of 416466052563 is 365250664614.

It is not a de Polignac number, because 416466052563 - 2¹⁴ = 416466036179 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (416466052543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26866231 + ... + 26881727.

It is an arithmetic number, because the mean of its divisors is an integer number (12860038926).

Almost surely, 2^416466052563 is an apocalyptic number.

416466052563 is a deficient number, since it is larger than the sum of its proper divisors (200815815885).

416466052563 is a wasteful number, since it uses less digits than its factorization.

416466052563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16356 (or 16345 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 416466052563 in words is "four hundred sixteen billion, four hundred sixty-six million, fifty-two thousand, five hundred sixty-three".