1355542016 has 40 divisors (see below), whose sum is σ = 2717464464. Its totient is φ = 675512320.

The previous prime is 1355541977. The next prime is 1355542021. The reversal of 1355542016 is 6102455531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 154976 + ... + 163488.

Almost surely, 2^1355542016 is an apocalyptic number.

1355542016 is a gapful number since it is divisible by the number (16) 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 1355542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358732232).

1355542016 is an abundant number, since it is smaller than the sum of its proper divisors (1361922448).

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

1355542016 is an frugal number, since it uses more digits than its factorization.

1355542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842 (or 8826 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 1355542016 is about 36817.6861847672. The cubic root of 1355542016 is about 1106.7197522962.

Adding to 1355542016 its reverse (6102455531), we get a palindrome (7457997547).

The spelling of 1355542016 in words is "one billion, three hundred fifty-five million, five hundred forty-two thousand, sixteen".