3548168537472 has 256 divisors, whose sum is σ = 11319219072000. Its totient is φ = 1087711856640.

The previous prime is 3548168537401. The next prime is 3548168537477. The reversal of 3548168537472 is 2747358618453.

It is a happy number.

3548168537472 is a `hidden beast` number, since 3 + 5 + 4 + 81 + 6 + 85 + 3 + 7 + 472 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3548168537477) 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 31 ways as a sum of consecutive naturals, for example, 12029779 + ... + 12321197.

It is an arithmetic number, because the mean of its divisors is an integer number (44215699500).

Almost surely, 2^{3548168537472} is an apocalyptic number.

3548168537472 is a gapful number since it is divisible by the number (32) 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 3548168537472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659609536000).

3548168537472 is an abundant number, since it is smaller than the sum of its proper divisors (7771050534528).

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

3548168537472 is a wasteful number, since it uses less digits than its factorization.

3548168537472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291726 (or 291708 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 3548168537472 in words is "three trillion, five hundred forty-eight billion, one hundred sixty-eight million, five hundred thirty-seven thousand, four hundred seventy-two".