705821402016 has 192 divisors, whose sum is σ = 2099884348800. Its totient is φ = 230588467200.

The previous prime is 705821401933. The next prime is 705821402047. The reversal of 705821402016 is 610204128507.

705821402016 is a `hidden beast` number, since 7 + 0 + 582 + 1 + 40 + 20 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14785995 + ... + 14833653.

It is an arithmetic number, because the mean of its divisors is an integer number (10936897650).

Almost surely, 2^705821402016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705821402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049942174400).

705821402016 is an abundant number, since it is smaller than the sum of its proper divisors (1394062946784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

705821402016 is a wasteful number, since it uses less digits than its factorization.

705821402016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48020 (or 48006 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 705821402016 in words is "seven hundred five billion, eight hundred twenty-one million, four hundred two thousand, sixteen".