1146604073616 has 405 divisors, whose sum is σ = 3549970326513. Its totient is φ = 345395957760.

The previous prime is 1146604073603. The next prime is 1146604073617. The reversal of 1146604073616 is 6163704066411.

The square root of 1146604073616 is 1070796.

It is a perfect power (a square), and thus also a powerful number.

1146604073616 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 604 + 0 + 7 + 36 + 1 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 951678291600 + 194925782016 = 975540^2 + 441504^2 .

It is not an unprimeable number, because it can be changed into a prime (1146604073617) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6334829046 + ... + 6334829226.

Almost surely, 2^{1146604073616} is an apocalyptic number.

1146604073616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1146604073616 is the 1070796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146604073616

1146604073616 is an abundant number, since it is smaller than the sum of its proper divisors (2403366252897).

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

1146604073616 is a wasteful number, since it uses less digits than its factorization.

1146604073616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1146604073616 in words is "one trillion, one hundred forty-six billion, six hundred four million, seventy-three thousand, six hundred sixteen".