1004560313616 has 30 divisors (see below), whose sum is σ = 2811373655870. Its totient is φ = 334853437824.

The previous prime is 1004560313599. The next prime is 1004560313677. The reversal of 1004560313616 is 6163130654001.

1004560313616 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 5 + 6 + 0 + 31 + 3 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 576718736400 + 427841577216 = 759420^2 + 654096^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3488056501 + ... + 3488056788.

Almost surely, 2^{1004560313616} is an apocalyptic number.

1004560313616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1004560313616 is an abundant number, since it is smaller than the sum of its proper divisors (1806813342254).

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

1004560313616 is a wasteful number, since it uses less digits than its factorization.

1004560313616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6976113303 (or 6976113294 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 1004560313616 its reverse (6163130654001), we get a palindrome (7167690967617).

The spelling of 1004560313616 in words is "one trillion, four billion, five hundred sixty million, three hundred thirteen thousand, six hundred sixteen".