802142182656 has 576 divisors, whose sum is σ = 2574321523200. Its totient is φ = 245612150784.

The previous prime is 802142182651. The next prime is 802142182669. The reversal of 802142182656 is 656281241208.

802142182656 is a `hidden beast` number, since 80 + 21 + 421 + 82 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×802142182656² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802142182651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1184847790 + ... + 1184848466.

It is an arithmetic number, because the mean of its divisors is an integer number (4469308200).

Almost surely, 2^802142182656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802142182656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287160761600).

802142182656 is an abundant number, since it is smaller than the sum of its proper divisors (1772179340544).

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

802142182656 is a wasteful number, since it uses less digits than its factorization.

802142182656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 802142182656 in words is "eight hundred two billion, one hundred forty-two million, one hundred eighty-two thousand, six hundred fifty-six".