1332008496 has 320 divisors, whose sum is σ = 4861911040. Its totient is φ = 339655680.

The previous prime is 1332008479. The next prime is 1332008519. The reversal of 1332008496 is 6948002331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1332008496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1218126 + ... + 1219218.

It is an arithmetic number, because the mean of its divisors is an integer number (15193472).

Almost surely, 2^1332008496 is an apocalyptic number.

1332008496 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 1332008496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430955520).

1332008496 is an abundant number, since it is smaller than the sum of its proper divisors (3529902544).

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

1332008496 is a wasteful number, since it uses less digits than its factorization.

1332008496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1332008496 is about 36496.6915760867. The cubic root of 1332008496 is about 1100.2777524505.

The spelling of 1332008496 in words is "one billion, three hundred thirty-two million, eight thousand, four hundred ninety-six".