1353443616 has 216 divisors, whose sum is σ = 4502010240. Its totient is φ = 377814528.

The previous prime is 1353443603. The next prime is 1353443621. The reversal of 1353443616 is 6163443531.

1353443616 is a `hidden beast` number, since 1 + 3 + 5 + 34 + 4 + 3 + 616 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 5662825 + ... + 5663063.

It is an arithmetic number, because the mean of its divisors is an integer number (20842640).

Almost surely, 2^1353443616 is an apocalyptic number.

1353443616 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 1353443616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251005120).

1353443616 is an abundant number, since it is smaller than the sum of its proper divisors (3148566624).

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

1353443616 is a wasteful number, since it uses less digits than its factorization.

1353443616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 304 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 1353443616 is about 36789.1779739640. The cubic root of 1353443616 is about 1106.1483842696.

The spelling of 1353443616 in words is "one billion, three hundred fifty-three million, four hundred forty-three thousand, six hundred sixteen".