1656005947824 has 120 divisors (see below), whose sum is σ = 4455290081280. Its totient is φ = 529987328640.

The previous prime is 1656005947733. The next prime is 1656005947853. The reversal of 1656005947824 is 4287495006561.

It is a super-2 number, since 2×1656005947824² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5716917 + ... + 5999595.

It is an arithmetic number, because the mean of its divisors is an integer number (37127417344).

Almost surely, 2^{1656005947824} 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 1656005947824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227645040640).

1656005947824 is an abundant number, since it is smaller than the sum of its proper divisors (2799284133456).

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

1656005947824 is a wasteful number, since it uses less digits than its factorization.

1656005947824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282879 (or 282842 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 1656005947824 in words is "one trillion, six hundred fifty-six billion, five million, nine hundred forty-seven thousand, eight hundred twenty-four".