1946198016 has 280 divisors, whose sum is σ = 6660672480. Its totient is φ = 554729472.

The previous prime is 1946198003. The next prime is 1946198021. The reversal of 1946198016 is 6108916491.

1946198016 is a `hidden beast` number, since 19 + 4 + 619 + 8 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4644655 + ... + 4645073.

It is an arithmetic number, because the mean of its divisors is an integer number (23788116).

Almost surely, 2^1946198016 is an apocalyptic number.

1946198016 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 1946198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330336240).

1946198016 is an abundant number, since it is smaller than the sum of its proper divisors (4714474464).

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

1946198016 is an frugal number, since it uses more digits than its factorization.

1946198016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1946198016 is about 44115.7343359487. The cubic root of 1946198016 is about 1248.5204929513.

The spelling of 1946198016 in words is "one billion, nine hundred forty-six million, one hundred ninety-eight thousand, sixteen".