1606277204256 has 192 divisors, whose sum is σ = 4484187848448. Its totient is φ = 501713338368.

The previous prime is 1606277204251. The next prime is 1606277204261. The reversal of 1606277204256 is 6524027726061.

It is an interprime number because it is at equal distance from previous prime (1606277204251) and next prime (1606277204261).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1606277204251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445320405 + ... + 445324011.

It is an arithmetic number, because the mean of its divisors is an integer number (23355145044).

Almost surely, 2^{1606277204256} is an apocalyptic number.

1606277204256 is a gapful number since it is divisible by the number (16) 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 1606277204256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242093924224).

1606277204256 is an abundant number, since it is smaller than the sum of its proper divisors (2877910644192).

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

1606277204256 is a wasteful number, since it uses less digits than its factorization.

1606277204256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 1606277204256 in words is "one trillion, six hundred six billion, two hundred seventy-seven million, two hundred four thousand, two hundred fifty-six".