1348691302656 has 288 divisors, whose sum is σ = 4138413870080. Its totient is φ = 432896016384.

The previous prime is 1348691302613. The next prime is 1348691302709. The reversal of 1348691302656 is 6562031968431.

1348691302656 is a `hidden beast` number, since 1 + 3 + 486 + 9 + 130 + 26 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24779985 + ... + 24834351.

Almost surely, 2^{1348691302656} is an apocalyptic number.

1348691302656 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 1348691302656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069206935040).

1348691302656 is an abundant number, since it is smaller than the sum of its proper divisors (2789722567424).

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

1348691302656 is an equidigital number, since it uses as much as digits as its factorization.

1348691302656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54526 (or 54506 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1348691302656 in words is "one trillion, three hundred forty-eight billion, six hundred ninety-one million, three hundred two thousand, six hundred fifty-six".