82249161263808 has 112 divisors (see below), whose sum is σ = 271315415126784. Its totient is φ = 21363418506240.

The previous prime is 82249161263779. The next prime is 82249161263827. The reversal of 82249161263808 is 80836216194228.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2781680335 + ... + 2781709902.

It is an arithmetic number, because the mean of its divisors is an integer number (2422459063632).

Almost surely, 2^{82249161263808} is an apocalyptic number.

82249161263808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82249161263808 is an abundant number, since it is smaller than the sum of its proper divisors (189066253862976).

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

82249161263808 is a wasteful number, since it uses less digits than its factorization.

82249161263808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563390270 (or 5563390260 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 82249161263808 in words is "eighty-two trillion, two hundred forty-nine billion, one hundred sixty-one million, two hundred sixty-three thousand, eight hundred eight".