1346766494976 has 864 divisors, whose sum is σ = 4969992867840. Its totient is φ = 341442625536.

The previous prime is 1346766494963. The next prime is 1346766494987. The reversal of 1346766494976 is 6794946676431.

1346766494976 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 7 + 66 + 494 + 9 + 76 = 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 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 95 ways as a sum of consecutive naturals, for example, 1370056981 + ... + 1370057963.

It is an arithmetic number, because the mean of its divisors is an integer number (5752306560).

Almost surely, 2^{1346766494976} is an apocalyptic number.

1346766494976 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 1346766494976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484996433920).

1346766494976 is an abundant number, since it is smaller than the sum of its proper divisors (3623226372864).

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

1346766494976 is a wasteful number, since it uses less digits than its factorization.

1346766494976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1294 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 72.

The spelling of 1346766494976 in words is "one trillion, three hundred forty-six billion, seven hundred sixty-six million, four hundred ninety-four thousand, nine hundred seventy-six".