1678147146 has 160 divisors (see below), whose sum is σ = 4515255360. Its totient is φ = 460214784.

The previous prime is 1678147117. The next prime is 1678147169. The reversal of 1678147146 is 6417418761.

1678147146 is a `hidden beast` number, since 1 + 67 + 81 + 471 + 46 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 679005 + ... + 681471.

It is an arithmetic number, because the mean of its divisors is an integer number (28220346).

Almost surely, 2^1678147146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1678147146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257627680).

1678147146 is an abundant number, since it is smaller than the sum of its proper divisors (2837108214).

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

1678147146 is a wasteful number, since it uses less digits than its factorization.

1678147146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2521 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 1678147146 is about 40965.1943239624. The cubic root of 1678147146 is about 1188.3471972655.

The spelling of 1678147146 in words is "one billion, six hundred seventy-eight million, one hundred forty-seven thousand, one hundred forty-six".