1005608003616 has 72 divisors (see below), whose sum is σ = 2859842005020. Its totient is φ = 335185760256.

The previous prime is 1005608003593. The next prime is 1005608003681. The reversal of 1005608003616 is 6163008065001.

It is a happy number.

1005608003616 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 608 + 0 + 0 + 36 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 999992000016 + 5616003600 = 999996^2 + 74940^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1005608003616² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6480796 + ... + 6634148.

Almost surely, 2^{1005608003616} is an apocalyptic number.

1005608003616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1005608003616 is an abundant number, since it is smaller than the sum of its proper divisors (1854234001404).

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

1005608003616 is a wasteful number, since it uses less digits than its factorization.

1005608003616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176138 (or 176127 counting only the distinct ones).

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

The spelling of 1005608003616 in words is "one trillion, five billion, six hundred eight million, three thousand, six hundred sixteen".