82663107347844 has 18 divisors (see below), whose sum is σ = 208953965796030. Its totient is φ = 27554369115936.

The previous prime is 82663107347791. The next prime is 82663107347851. The reversal of 82663107347844 is 44874370136628.

82663107347844 is a `hidden beast` number, since 8 + 2 + 66 + 31 + 0 + 73 + 478 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58823715194244 + 23839392153600 = 7669662^2 + 4882560^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×82663107347844² (a number of 29 digits) contains 22 as substring.

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, 1148098713129 + ... + 1148098713200.

It is an arithmetic number, because the mean of its divisors is an integer number (11608553655335).

Almost surely, 2^{82663107347844} is an apocalyptic number.

It is an amenable number.

82663107347844 is an abundant number, since it is smaller than the sum of its proper divisors (126290858448186).

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

82663107347844 is a wasteful number, since it uses less digits than its factorization.

82663107347844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296197426339 (or 2296197426334 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 82663107347844 in words is "eighty-two trillion, six hundred sixty-three billion, one hundred seven million, three hundred forty-seven thousand, eight hundred forty-four".