1349290975680 has 336 divisors, whose sum is σ = 4815285995520. Its totient is φ = 359631664128.

The previous prime is 1349290975597. The next prime is 1349290975687. The reversal of 1349290975680 is 865790929431.

1349290975680 is a `hidden beast` number, since 1 + 3 + 49 + 29 + 0 + 9 + 7 + 568 + 0 = 666.

It is a super-2 number, since 2×1349290975680² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349290975687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246263181 + ... + 246268659.

It is an arithmetic number, because the mean of its divisors is an integer number (14331208320).

It is a 1-persistent number, because it is pandigital, but 2⋅1349290975680 = 2698581951360 is not.

Almost surely, 2^{1349290975680} is an apocalyptic number.

1349290975680 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 1349290975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407642997760).

1349290975680 is an abundant number, since it is smaller than the sum of its proper divisors (3465995019840).

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

1349290975680 is an equidigital number, since it uses as much as digits as its factorization.

1349290975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8678 (or 8656 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 1349290975680 in words is "one trillion, three hundred forty-nine billion, two hundred ninety million, nine hundred seventy-five thousand, six hundred eighty".