1375846016 has 96 divisors (see below), whose sum is σ = 2941639200. Its totient is φ = 639592448.

The previous prime is 1375846009. The next prime is 1375846019. The reversal of 1375846016 is 6106485731.

It is not an unprimeable number, because it can be changed into a prime (1375846019) 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 11 ways as a sum of consecutive naturals, for example, 15458900 + ... + 15458988.

It is an arithmetic number, because the mean of its divisors is an integer number (30642075).

Almost surely, 2^1375846016 is an apocalyptic number.

1375846016 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 1375846016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470819600).

1375846016 is an abundant number, since it is smaller than the sum of its proper divisors (1565793184).

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

1375846016 is an frugal number, since it uses more digits than its factorization.

1375846016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 1375846016 is about 37092.3983586934. The cubic root of 1375846016 is about 1112.2180618885.

The spelling of 1375846016 in words is "one billion, three hundred seventy-five million, eight hundred forty-six thousand, sixteen".