677841014112 has 192 divisors, whose sum is σ = 1903569937920. Its totient is φ = 210574577664.

The previous prime is 677841014107. The next prime is 677841014119. The reversal of 677841014112 is 211410148776.

It is a super-4 number, since 4×677841014112⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677841014119) by changing a digit.

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, 52854933 + ... + 52867755.

It is an arithmetic number, because the mean of its divisors is an integer number (9914426760).

Almost surely, 2^677841014112 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 677841014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951784968960).

677841014112 is an abundant number, since it is smaller than the sum of its proper divisors (1225728923808).

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

677841014112 is a wasteful number, since it uses less digits than its factorization.

677841014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13325 (or 13317 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 677841014112 in words is "six hundred seventy-seven billion, eight hundred forty-one million, fourteen thousand, one hundred twelve".