1331914752 has 480 divisors, whose sum is σ = 4820175360. Its totient is φ = 358318080.

The previous prime is 1331914699. The next prime is 1331914777. The reversal of 1331914752 is 2574191331.

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 39 ways as a sum of consecutive naturals, for example, 35997678 + ... + 35997714.

It is an arithmetic number, because the mean of its divisors is an integer number (10042032).

Almost surely, 2^1331914752 is an apocalyptic number.

1331914752 is a gapful number since it is divisible by the number (12) 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 1331914752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410087680).

1331914752 is an abundant number, since it is smaller than the sum of its proper divisors (3488260608).

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

1331914752 is an equidigital number, since it uses as much as digits as its factorization.

1331914752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 1331914752 is about 36495.4072726967. The cubic root of 1331914752 is about 1100.2519400883.

The spelling of 1331914752 in words is "one billion, three hundred thirty-one million, nine hundred fourteen thousand, seven hundred fifty-two".