8131648112640 has 3072 divisors, whose sum is σ = 35093224857600. Its totient is φ = 1788723855360.

The previous prime is 8131648112617. The next prime is 8131648112669. The reversal of 8131648112640 is 462118461318.

8131648112640 is a `hidden beast` number, since 8 + 1 + 3 + 1 + 6 + 481 + 126 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×8131648112640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 153427322854 + ... + 153427322906.

It is an arithmetic number, because the mean of its divisors is an integer number (11423575800).

Almost surely, 2^{8131648112640} is an apocalyptic number.

8131648112640 is a gapful number since it is divisible by the number (80) 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 8131648112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17546612428800).

8131648112640 is an abundant number, since it is smaller than the sum of its proper divisors (26961576744960).

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

8131648112640 is a wasteful number, since it uses less digits than its factorization.

8131648112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 8131648112640 in words is "eight trillion, one hundred thirty-one billion, six hundred forty-eight million, one hundred twelve thousand, six hundred forty".