1656882045000 has 960 divisors, whose sum is σ = 6928979016960. Its totient is φ = 348192000000.

The previous prime is 1656882044989. The next prime is 1656882045029. The reversal of 1656882045000 is 5402886561.

1656882045000 is a `hidden beast` number, since 1 + 6 + 5 + 68 + 82 + 0 + 4 + 500 + 0 = 666.

It is a super-2 number, since 2×1656882045000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 1273544350 + ... + 1273545650.

It is an arithmetic number, because the mean of its divisors is an integer number (7217686476).

Almost surely, 2^{1656882045000} is an apocalyptic number.

1656882045000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656882045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464489508480).

1656882045000 is an abundant number, since it is smaller than the sum of its proper divisors (5272096971960).

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

1656882045000 is a wasteful number, since it uses less digits than its factorization.

1656882045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1656882045000 in words is "one trillion, six hundred fifty-six billion, eight hundred eighty-two million, forty-five thousand".