1331916048 has 120 divisors (see below), whose sum is σ = 3924033568. Its totient is φ = 437260032.

The previous prime is 1331916007. The next prime is 1331916059. The reversal of 1331916048 is 8406191331.

1331916048 is a `hidden beast` number, since 1 + 33 + 19 + 1 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257940 + ... + 263052.

Almost surely, 2^1331916048 is an apocalyptic number.

1331916048 is a gapful number since it is divisible by the number (18) 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 1331916048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962016784).

1331916048 is an abundant number, since it is smaller than the sum of its proper divisors (2592117520).

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

1331916048 is an equidigital number, since it uses as much as digits as its factorization.

1331916048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5203 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1331916048 is about 36495.4250283512. The cubic root of 1331916048 is about 1100.2522969495.

The spelling of 1331916048 in words is "one billion, three hundred thirty-one million, nine hundred sixteen thousand, forty-eight".