1331779968 has 192 divisors, whose sum is σ = 4063288320. Its totient is φ = 434004480.

The previous prime is 1331779951. The next prime is 1331779987. The reversal of 1331779968 is 8699771331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1331779968³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1461433 + ... + 1462343.

It is an arithmetic number, because the mean of its divisors is an integer number (21162960).

Almost surely, 2^1331779968 is an apocalyptic number.

1331779968 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 1331779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031644160).

1331779968 is an abundant number, since it is smaller than the sum of its proper divisors (2731508352).

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

1331779968 is an frugal number, since it uses more digits than its factorization.

1331779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 963 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The square root of 1331779968 is about 36493.5606374604. The cubic root of 1331779968 is about 1100.2148252605.

The spelling of 1331779968 in words is "one billion, three hundred thirty-one million, seven hundred seventy-nine thousand, nine hundred sixty-eight".