1350233130456 has 192 divisors, whose sum is σ = 4222344672000. Its totient is φ = 381809952000.

The previous prime is 1350233130409. The next prime is 1350233130479. The reversal of 1350233130456 is 6540313320531.

1350233130456 is a `hidden beast` number, since 1 + 3 + 50 + 23 + 3 + 130 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1350233130456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214353595 + ... + 214359893.

It is an arithmetic number, because the mean of its divisors is an integer number (21991378500).

Almost surely, 2^{1350233130456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350233130456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111172336000).

1350233130456 is an abundant number, since it is smaller than the sum of its proper divisors (2872111541544).

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

1350233130456 is a wasteful number, since it uses less digits than its factorization.

1350233130456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10630 (or 10623 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 1350233130456 its reverse (6540313320531), we get a palindrome (7890546450987).

The spelling of 1350233130456 in words is "one trillion, three hundred fifty billion, two hundred thirty-three million, one hundred thirty thousand, four hundred fifty-six".