1335612816 has 60 divisors (see below), whose sum is σ = 3761732572. Its totient is φ = 442361088.

The previous prime is 1335612797. The next prime is 1335612821. The reversal of 1335612816 is 6182165331.

1335612816 is a `hidden beast` number, since 1 + 3 + 35 + 612 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 320553216 + 1015059600 = 17904^2 + 31860^2 .

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6931 + ... + 52146.

Almost surely, 2^1335612816 is an apocalyptic number.

1335612816 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 1335612816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880866286).

1335612816 is an abundant number, since it is smaller than the sum of its proper divisors (2426119756).

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

1335612816 is a wasteful number, since it uses less digits than its factorization.

1335612816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59248 (or 59239 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1335612816 is about 36546.0369397285. The cubic root of 1335612816 is about 1101.2692830284.

The spelling of 1335612816 in words is "one billion, three hundred thirty-five million, six hundred twelve thousand, eight hundred sixteen".