2085356883456 has 1920 divisors, whose sum is σ = 8427684165120. Its totient is φ = 501645312000.

The previous prime is 2085356883433. The next prime is 2085356883461. The reversal of 2085356883456 is 6543886535802.

2085356883456 is a `hidden beast` number, since 2 + 0 + 8 + 53 + 56 + 8 + 83 + 456 = 666.

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 junction number, because it is equal to n+sod(n) for n = 2085356883393 and 2085356883402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12793600431 + ... + 12793600593.

It is an arithmetic number, because the mean of its divisors is an integer number (4389418836).

Almost surely, 2^{2085356883456} 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 2085356883456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213842082560).

2085356883456 is an abundant number, since it is smaller than the sum of its proper divisors (6342327281664).

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

2085356883456 is a wasteful number, since it uses less digits than its factorization.

2085356883456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 304 counting only the distinct ones).

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

The spelling of 2085356883456 in words is "two trillion, eighty-five billion, three hundred fifty-six million, eight hundred eighty-three thousand, four hundred fifty-six".