1331158722264 has 576 divisors, whose sum is σ = 4409862912000. Its totient is φ = 361263006720.

The previous prime is 1331158722263. The next prime is 1331158722287. The reversal of 1331158722264 is 4622278511331.

1331158722264 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 587 + 2 + 2 + 2 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331158722263) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1586601157 + ... + 1586601995.

It is an arithmetic number, because the mean of its divisors is an integer number (7656012000).

Almost surely, 2^{1331158722264} is an apocalyptic number.

1331158722264 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 1331158722264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204931456000).

1331158722264 is an abundant number, since it is smaller than the sum of its proper divisors (3078704189736).

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

1331158722264 is a wasteful number, since it uses less digits than its factorization.

1331158722264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1134 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 1331158722264 in words is "one trillion, three hundred thirty-one billion, one hundred fifty-eight million, seven hundred twenty-two thousand, two hundred sixty-four".