1331141715456 has 320 divisors, whose sum is σ = 4222904716800. Its totient is φ = 364557828096.

The previous prime is 1331141715443. The next prime is 1331141715479. The reversal of 1331141715456 is 6545171411331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43325956 + ... + 43356668.

It is an arithmetic number, because the mean of its divisors is an integer number (13196577240).

Almost surely, 2^{1331141715456} is an apocalyptic number.

1331141715456 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 1331141715456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111452358400).

1331141715456 is an abundant number, since it is smaller than the sum of its proper divisors (2891763001344).

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

1331141715456 is a wasteful number, since it uses less digits than its factorization.

1331141715456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30909 (or 30893 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The spelling of 1331141715456 in words is "one trillion, three hundred thirty-one billion, one hundred forty-one million, seven hundred fifteen thousand, four hundred fifty-six".