1946246016 has 384 divisors, whose sum is σ = 6443821440. Its totient is φ = 512962560.

The previous prime is 1946246011. The next prime is 1946246033. The reversal of 1946246016 is 6106426491.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1946246011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29048415 + ... + 29048481.

It is an arithmetic number, because the mean of its divisors is an integer number (16780785).

Almost surely, 2^1946246016 is an apocalyptic number.

1946246016 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 1946246016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221910720).

1946246016 is an abundant number, since it is smaller than the sum of its proper divisors (4497575424).

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

1946246016 is a wasteful number, since it uses less digits than its factorization.

1946246016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1946246016 is about 44116.2783561805. The cubic root of 1946246016 is about 1248.5307571503.

The spelling of 1946246016 in words is "one billion, nine hundred forty-six million, two hundred forty-six thousand, sixteen".