1349256679680 has 576 divisors, whose sum is σ = 5330542694400. Its totient is φ = 283233189888.

The previous prime is 1349256679657. The next prime is 1349256679681. The reversal of 1349256679680 is 869766529431.

It is a super-2 number, since 2×1349256679680² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1349256679681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 69528859 + ... + 69548261.

It is an arithmetic number, because the mean of its divisors is an integer number (9254414400).

It is a 1-persistent number, because it is pandigital, but 2⋅1349256679680 = 2698513359360 is not.

Almost surely, 2^{1349256679680} is an apocalyptic number.

1349256679680 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 1349256679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665271347200).

1349256679680 is an abundant number, since it is smaller than the sum of its proper divisors (3981286014720).

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

1349256679680 is a wasteful number, since it uses less digits than its factorization.

1349256679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19646 (or 19632 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 1349256679680 in words is "one trillion, three hundred forty-nine billion, two hundred fifty-six million, six hundred seventy-nine thousand, six hundred eighty".