1330914816 has 480 divisors, whose sum is σ = 4984252416. Its totient is φ = 334540800.

The previous prime is 1330914799. The next prime is 1330914829. The reversal of 1330914816 is 6184190331.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42932721 + ... + 42932751.

Almost surely, 2^1330914816 is an apocalyptic number.

1330914816 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 1330914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492126208).

1330914816 is an abundant number, since it is smaller than the sum of its proper divisors (3653337600).

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

1330914816 is an equidigital number, since it uses as much as digits as its factorization.

1330914816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

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

The square root of 1330914816 is about 36481.7052233034. The cubic root of 1330914816 is about 1099.9765328327.

The spelling of 1330914816 in words is "one billion, three hundred thirty million, nine hundred fourteen thousand, eight hundred sixteen".