1356650311680 has 1560 divisors, whose sum is σ = 5385395876256. Its totient is φ = 325830574080.

The previous prime is 1356650311663. The next prime is 1356650311693. The reversal of 1356650311680 is 861130566531.

1356650311680 is a `hidden beast` number, since 1 + 3 + 5 + 66 + 503 + 1 + 1 + 6 + 80 = 666.

It is a super-2 number, since 2×1356650311680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36666224622 + ... + 36666224658.

Almost surely, 2^{1356650311680} is an apocalyptic number.

1356650311680 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 1356650311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692697938128).

1356650311680 is an abundant number, since it is smaller than the sum of its proper divisors (4028745564576).

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

1356650311680 is an equidigital number, since it uses as much as digits as its factorization.

1356650311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1356650311680 in words is "one trillion, three hundred fifty-six billion, six hundred fifty million, three hundred eleven thousand, six hundred eighty".