82355675560144 has 30 divisors (see below), whose sum is σ = 185615406525714. Its totient is φ = 35295289525440.

The previous prime is 82355675560127. The next prime is 82355675560189. The reversal of 82355675560144 is 44106557655328.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 82121438919744 + 234236640400 = 9062088^2 + 483980^2 .

It is a super-2 number, since 2×82355675560144² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52522751487 + ... + 52522753054.

Almost surely, 2^{82355675560144} is an apocalyptic number.

It is an amenable number.

82355675560144 is an abundant number, since it is smaller than the sum of its proper divisors (103259730965570).

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

82355675560144 is a wasteful number, since it uses less digits than its factorization.

82355675560144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105045504563 (or 105045504550 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 61.

The spelling of 82355675560144 in words is "eighty-two trillion, three hundred fifty-five billion, six hundred seventy-five million, five hundred sixty thousand, one hundred forty-four".