1331206464 has 224 divisors, whose sum is σ = 4213555200. Its totient is φ = 362926080.

The previous prime is 1331206463. The next prime is 1331206501. The reversal of 1331206464 is 4646021331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1331206464² = 3544221299590766592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331206463) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3707917 + ... + 3708275.

Almost surely, 2^1331206464 is an apocalyptic number.

1331206464 is a gapful number since it is divisible by the number (14) 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 1331206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106777600).

1331206464 is an abundant number, since it is smaller than the sum of its proper divisors (2882348736).

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

1331206464 is a wasteful number, since it uses less digits than its factorization.

1331206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1331206464 is about 36485.7021859248. The cubic root of 1331206464 is about 1100.0568741943.

Adding to 1331206464 its reverse (4646021331), we get a palindrome (5977227795).

The spelling of 1331206464 in words is "one billion, three hundred thirty-one million, two hundred six thousand, four hundred sixty-four".