1355664016 has 160 divisors (see below), whose sum is σ = 3229793280. Its totient is φ = 539136000.

The previous prime is 1355664001. The next prime is 1355664017. The reversal of 1355664016 is 6104665531.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (1355664017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13422366 + ... + 13422466.

It is an arithmetic number, because the mean of its divisors is an integer number (20186208).

Almost surely, 2^1355664016 is an apocalyptic number.

1355664016 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 1355664016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614896640).

1355664016 is an abundant number, since it is smaller than the sum of its proper divisors (1874129264).

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

1355664016 is a wasteful number, since it uses less digits than its factorization.

1355664016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 1355664016 is about 36819.3429599171. The cubic root of 1355664016 is about 1106.7529532243.

The spelling of 1355664016 in words is "one billion, three hundred fifty-five million, six hundred sixty-four thousand, sixteen".