1355168016 has 80 divisors (see below), whose sum is σ = 3897072000. Its totient is φ = 450882432.

The previous prime is 1355168011. The next prime is 1355168029. The reversal of 1355168016 is 6108615531.

1355168016 is a `hidden beast` number, since 13 + 551 + 6 + 80 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1355168011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256150 + ... + 261386.

It is an arithmetic number, because the mean of its divisors is an integer number (48713400).

Almost surely, 2^1355168016 is an apocalyptic number.

1355168016 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 1355168016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948536000).

1355168016 is an abundant number, since it is smaller than the sum of its proper divisors (2541903984).

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

1355168016 is a wasteful number, since it uses less digits than its factorization.

1355168016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1355168016 is about 36812.6067536652. The cubic root of 1355168016 is about 1106.6179599860.

The spelling of 1355168016 in words is "one billion, three hundred fifty-five million, one hundred sixty-eight thousand, sixteen".