1346830158960 has 1920 divisors, whose sum is σ = 5975750860800. Its totient is φ = 275904921600.

The previous prime is 1346830158937. The next prime is 1346830159027. The reversal of 1346830158960 is 698510386431.

1346830158960 is a `hidden beast` number, since 1 + 3 + 468 + 30 + 15 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1346830158897 and 1346830158906.

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 383 ways as a sum of consecutive naturals, for example, 2001233184 + ... + 2001233856.

It is an arithmetic number, because the mean of its divisors is an integer number (3112370240).

Almost surely, 2^{1346830158960} is an apocalyptic number.

1346830158960 is a gapful number since it is divisible by the number (10) 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 1346830158960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987875430400).

1346830158960 is an abundant number, since it is smaller than the sum of its proper divisors (4628920701840).

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

1346830158960 is a wasteful number, since it uses less digits than its factorization.

1346830158960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1346830158960 in words is "one trillion, three hundred forty-six billion, eight hundred thirty million, one hundred fifty-eight thousand, nine hundred sixty".