1946991168 has 280 divisors, whose sum is σ = 6036649344. Its totient is φ = 620006400.

The previous prime is 1946991139. The next prime is 1946991191. The reversal of 1946991168 is 8611996491.

1946991168 is a `hidden beast` number, since 19 + 469 + 9 + 1 + 168 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14862463 + ... + 14862593.

Almost surely, 2^1946991168 is an apocalyptic number.

1946991168 is a gapful number since it is divisible by the number (18) 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 1946991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018324672).

1946991168 is an abundant number, since it is smaller than the sum of its proper divisors (4089658176).

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

1946991168 is a wasteful number, since it uses less digits than its factorization.

1946991168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 1946991168 is about 44124.7228659852. The cubic root of 1946991168 is about 1248.6900769341.

The spelling of 1946991168 in words is "one billion, nine hundred forty-six million, nine hundred ninety-one thousand, one hundred sixty-eight".