1331882496 has 240 divisors, whose sum is σ = 4437823104. Its totient is φ = 376676352.

The previous prime is 1331882483. The next prime is 1331882521. The reversal of 1331882496 is 6942881331.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (248832) is a multiple of the sum of its prime divisors (432).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5064061 + ... + 5064323.

Almost surely, 2^1331882496 is an apocalyptic number.

1331882496 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 1331882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218911552).

1331882496 is an abundant number, since it is smaller than the sum of its proper divisors (3105940608).

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

1331882496 is a wasteful number, since it uses less digits than its factorization.

1331882496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 432 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1331882496 is about 36494.9653514016. The cubic root of 1331882496 is about 1100.2430581352.

The spelling of 1331882496 in words is "one billion, three hundred thirty-one million, eight hundred eighty-two thousand, four hundred ninety-six".