1346269297968 has 480 divisors, whose sum is σ = 4471528089600. Its totient is φ = 377884362240.

The previous prime is 1346269297963. The next prime is 1346269297969. The reversal of 1346269297968 is 8697929626431.

1346269297968 is a `hidden beast` number, since 1 + 3 + 462 + 6 + 92 + 9 + 79 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1346269297896 and 1346269297905.

It is not an unprimeable number, because it can be changed into a prime (1346269297963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1392211821 + ... + 1392212787.

It is an arithmetic number, because the mean of its divisors is an integer number (9315683520).

Almost surely, 2^{1346269297968} is an apocalyptic number.

1346269297968 is a gapful number since it is divisible by the number (18) 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 1346269297968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235764044800).

1346269297968 is an abundant number, since it is smaller than the sum of its proper divisors (3125258791632).

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

1346269297968 is a wasteful number, since it uses less digits than its factorization.

1346269297968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1447 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 1346269297968 in words is "one trillion, three hundred forty-six billion, two hundred sixty-nine million, two hundred ninety-seven thousand, nine hundred sixty-eight".