82415138302848 has 64 divisors (see below), whose sum is σ = 235754842755600. Its totient is φ = 25358504091648.

The previous prime is 82415138302837. The next prime is 82415138302867. The reversal of 82415138302848 is 84820383151428.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×82415138302848² (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 7 ways as a sum of consecutive naturals, for example, 8254716393 + ... + 8254726376.

Almost surely, 2^{82415138302848} is an apocalyptic number.

It is an amenable number.

82415138302848 is an abundant number, since it is smaller than the sum of its proper divisors (153339704452752).

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

82415138302848 is a wasteful number, since it uses less digits than its factorization.

82415138302848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16509442799 (or 16509442787 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 57.

The spelling of 82415138302848 in words is "eighty-two trillion, four hundred fifteen billion, one hundred thirty-eight million, three hundred two thousand, eight hundred forty-eight".