1915916256 has 144 divisors (see below), whose sum is σ = 5656210560. Its totient is φ = 614718720.

The previous prime is 1915916251. The next prime is 1915916257. The reversal of 1915916256 is 6526195191.

It is a happy number.

1915916256 is a `hidden beast` number, since 1 + 9 + 1 + 591 + 6 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1915916251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878175 + ... + 880353.

It is an arithmetic number, because the mean of its divisors is an integer number (39279240).

Almost surely, 2^1915916256 is an apocalyptic number.

1915916256 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 1915916256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828105280).

1915916256 is an abundant number, since it is smaller than the sum of its proper divisors (3740294304).

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

1915916256 is a wasteful number, since it uses less digits than its factorization.

1915916256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2298 counting only the distinct ones).

The product of its digits is 145800, while the sum is 45.

The square root of 1915916256 is about 43771.1806557694. The cubic root of 1915916256 is about 1242.0111864691.

The spelling of 1915916256 in words is "one billion, nine hundred fifteen million, nine hundred sixteen thousand, two hundred fifty-six".