1294845216 has 96 divisors (see below), whose sum is σ = 3942650880. Its totient is φ = 364421376.

The previous prime is 1294845163. The next prime is 1294845257. The reversal of 1294845216 is 6125484921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30645 + ... + 59403.

It is an arithmetic number, because the mean of its divisors is an integer number (41069280).

Almost surely, 2^1294845216 is an apocalyptic number.

1294845216 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 1294845216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971325440).

1294845216 is an abundant number, since it is smaller than the sum of its proper divisors (2647805664).

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

1294845216 is a wasteful number, since it uses less digits than its factorization.

1294845216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28846 (or 28838 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 1294845216 is about 35983.9577589792. The cubic root of 1294845216 is about 1089.9484351220.

The spelling of 1294845216 in words is "one billion, two hundred ninety-four million, eight hundred forty-five thousand, two hundred sixteen".