1331188992 has 252 divisors, whose sum is σ = 4557547680. Its totient is φ = 379966464.

The previous prime is 1331188979. The next prime is 1331189003. The reversal of 1331188992 is 2998811331.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1305859 + ... + 1306877.

Almost surely, 2^1331188992 is an apocalyptic number.

1331188992 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 1331188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278773840).

1331188992 is an abundant number, since it is smaller than the sum of its proper divisors (3226358688).

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

1331188992 is an frugal number, since it uses more digits than its factorization.

1331188992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1031 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 1331188992 is about 36485.4627488812. The cubic root of 1331188992 is about 1100.0520614478.

The spelling of 1331188992 in words is "one billion, three hundred thirty-one million, one hundred eighty-eight thousand, nine hundred ninety-two".