1356548786208 has 1152 divisors, whose sum is σ = 5306780344320. Its totient is φ = 317842882560.

The previous prime is 1356548786171. The next prime is 1356548786227. The reversal of 1356548786208 is 8026878456531.

1356548786208 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 548 + 7 + 86 + 2 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 1825771885 + ... + 1825772627.

It is an arithmetic number, because the mean of its divisors is an integer number (4606580160).

Almost surely, 2^{1356548786208} is an apocalyptic number.

1356548786208 is a gapful number since it is divisible by the number (18) 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 1356548786208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653390172160).

1356548786208 is an abundant number, since it is smaller than the sum of its proper divisors (3950231558112).

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

1356548786208 is a wasteful number, since it uses less digits than its factorization.

1356548786208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 1356548786208 in words is "one trillion, three hundred fifty-six billion, five hundred forty-eight million, seven hundred eighty-six thousand, two hundred eight".