1331910816 has 96 divisors (see below), whose sum is σ = 3594544128. Its totient is φ = 431619840.

The previous prime is 1331910809. The next prime is 1331910821. The reversal of 1331910816 is 6180191331.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734551 + ... + 736361.

It is an arithmetic number, because the mean of its divisors is an integer number (37443168).

Almost surely, 2^1331910816 is an apocalyptic number.

1331910816 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 1331910816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797272064).

1331910816 is an abundant number, since it is smaller than the sum of its proper divisors (2262633312).

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

1331910816 is a wasteful number, since it uses less digits than its factorization.

1331910816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1331910816 is about 36495.3533480634. The cubic root of 1331910816 is about 1100.2508562862.

The spelling of 1331910816 in words is "one billion, three hundred thirty-one million, nine hundred ten thousand, eight hundred sixteen".