2085648358563 has 48 divisors (see below), whose sum is σ = 3756355200000. Its totient is φ = 1083343386240.

The previous prime is 2085648358553. The next prime is 2085648358567. The reversal of 2085648358563 is 3658538465802.

2085648358563 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 6 + 48 + 3 + 585 + 6 + 3 = 666.

It is not a de Polignac number, because 2085648358563 - 2⁸ = 2085648358307 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2085648358563.

It is not an unprimeable number, because it can be changed into a prime (2085648358567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6892063 + ... + 7188311.

It is an arithmetic number, because the mean of its divisors is an integer number (78257400000).

Almost surely, 2^{2085648358563} is an apocalyptic number.

2085648358563 is a deficient number, since it is larger than the sum of its proper divisors (1670706841437).

2085648358563 is a wasteful number, since it uses less digits than its factorization.

2085648358563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306432 (or 306429 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 2085648358563 in words is "two trillion, eighty-five billion, six hundred forty-eight million, three hundred fifty-eight thousand, five hundred sixty-three".