1802506816656 has 400 divisors, whose sum is σ = 6758845878400. Its totient is φ = 450365515776.

The previous prime is 1802506816651. The next prime is 1802506816667. The reversal of 1802506816656 is 6566186052081.

1802506816656 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 506 + 81 + 6 + 6 + 56 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1802506816651) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1838580 + ... + 2642988.

It is an arithmetic number, because the mean of its divisors is an integer number (16897114696).

Almost surely, 2^{1802506816656} is an apocalyptic number.

1802506816656 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 1802506816656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379422939200).

1802506816656 is an abundant number, since it is smaller than the sum of its proper divisors (4956339061744).

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

1802506816656 is a wasteful number, since it uses less digits than its factorization.

1802506816656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804468 (or 804453 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

It can be divided in two parts, 1802506 and 816656, that added together give a palindrome (2619162).

The spelling of 1802506816656 in words is "one trillion, eight hundred two billion, five hundred six million, eight hundred sixteen thousand, six hundred fifty-six".