1609460278272 has 1056 divisors, whose sum is σ = 6405509082240. Its totient is φ = 393389015040.

The previous prime is 1609460278241. The next prime is 1609460278303. The reversal of 1609460278272 is 2728720649061.

1609460278272 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 4 + 602 + 7 + 8 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1609460278241) and next prime (1609460278303).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253335448 + ... + 253341800.

Almost surely, 2^{1609460278272} is an apocalyptic number.

1609460278272 is a gapful number since it is divisible by the number (12) 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 1609460278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202754541120).

1609460278272 is an abundant number, since it is smaller than the sum of its proper divisors (4796048803968).

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

1609460278272 is a wasteful number, since it uses less digits than its factorization.

1609460278272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1609460278272 in words is "one trillion, six hundred nine billion, four hundred sixty million, two hundred seventy-eight thousand, two hundred seventy-two".