1359541359648 has 72 divisors (see below), whose sum is σ = 3888543836268. Its totient is φ = 450560896512.

The previous prime is 1359541359647. The next prime is 1359541359697. The reversal of 1359541359648 is 8469531459531.

1359541359648 is a `hidden beast` number, since 1 + 3 + 5 + 95 + 413 + 5 + 96 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1327961226384 + 31580133264 = 1152372^2 + 177708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1359541359647) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13593615 + ... + 13693262.

Almost surely, 2^{1359541359648} is an apocalyptic number.

1359541359648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1359541359648 is an abundant number, since it is smaller than the sum of its proper divisors (2529002476620).

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

1359541359648 is a wasteful number, since it uses less digits than its factorization.

1359541359648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27287066 (or 27287055 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 1359541359648 in words is "one trillion, three hundred fifty-nine billion, five hundred forty-one million, three hundred fifty-nine thousand, six hundred forty-eight".