1677113856 has 320 divisors, whose sum is σ = 5568393600. Its totient is φ = 493977600.

The previous prime is 1677113849. The next prime is 1677113861. The reversal of 1677113856 is 6583117761.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6234490 + ... + 6234758.

It is an arithmetic number, because the mean of its divisors is an integer number (17401230).

Almost surely, 2^1677113856 is an apocalyptic number.

1677113856 is a gapful number since it is divisible by the number (16) 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 1677113856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784196800).

1677113856 is an abundant number, since it is smaller than the sum of its proper divisors (3891279744).

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

1677113856 is a wasteful number, since it uses less digits than its factorization.

1677113856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 326 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 1677113856 is about 40952.5805780295. The cubic root of 1677113856 is about 1188.1032457969.

The spelling of 1677113856 in words is "one billion, six hundred seventy-seven million, one hundred thirteen thousand, eight hundred fifty-six".