1677754342116 has 96 divisors (see below), whose sum is σ = 4513321411200. Its totient is φ = 538335262080.

The previous prime is 1677754342111. The next prime is 1677754342127. The reversal of 1677754342116 is 6112434577761.

1677754342116 is a `hidden beast` number, since 1 + 6 + 7 + 77 + 543 + 4 + 21 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1677754342111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227506 + ... + 1845878.

It is an arithmetic number, because the mean of its divisors is an integer number (47013764700).

Almost surely, 2^{1677754342116} 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 1677754342116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256660705600).

1677754342116 is an abundant number, since it is smaller than the sum of its proper divisors (2835567069084).

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

1677754342116 is a wasteful number, since it uses less digits than its factorization.

1677754342116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618746 (or 1618738 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 1677754342116 in words is "one trillion, six hundred seventy-seven billion, seven hundred fifty-four million, three hundred forty-two thousand, one hundred sixteen".