1609203274056 has 72 divisors (see below), whose sum is σ = 5069811346470. Its totient is φ = 459772363008.

The previous prime is 1609203274037. The next prime is 1609203274061. The reversal of 1609203274056 is 6504723029061.

1609203274056 is a `hidden beast` number, since 1 + 609 + 2 + 0 + 32 + 7 + 4 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1605111624900 + 4091649156 = 1266930^2 + 63966^2 .

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

It is a super-2 number, since 2×1609203274056² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 228058161 + ... + 228065216.

Almost surely, 2^{1609203274056} is an apocalyptic number.

It is an amenable number.

1609203274056 is an abundant number, since it is smaller than the sum of its proper divisors (3460608072414).

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

1609203274056 is a wasteful number, since it uses less digits than its factorization.

1609203274056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456123403 (or 456123389 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1609203274056 in words is "one trillion, six hundred nine billion, two hundred three million, two hundred seventy-four thousand, fifty-six".