8123653410048 has 2160 divisors, whose sum is σ = 30315195187200. Its totient is φ = 2149759180800.

The previous prime is 8123653410031. The next prime is 8123653410097. The reversal of 8123653410048 is 8400143563218.

8123653410048 is a `hidden beast` number, since 8 + 1 + 2 + 3 + 6 + 534 + 100 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8123653409985 and 8123653410012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33990181513 + ... + 33990181751.

Almost surely, 2^{8123653410048} is an apocalyptic number.

8123653410048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8123653410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15157597593600).

8123653410048 is an abundant number, since it is smaller than the sum of its proper divisors (22191541777152).

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

8123653410048 is a wasteful number, since it uses less digits than its factorization.

8123653410048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 8123653410048 in words is "eight trillion, one hundred twenty-three billion, six hundred fifty-three million, four hundred ten thousand, forty-eight".