8124641466144 has 96 divisors (see below), whose sum is σ = 24444166957056. Its totient is φ = 2314636366080.

The previous prime is 8124641466133. The next prime is 8124641466173. The reversal of 8124641466144 is 4416641464218.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 17187912 + ... + 17654279.

It is an arithmetic number, because the mean of its divisors is an integer number (254626739136).

Almost surely, 2^{8124641466144} is an apocalyptic number.

8124641466144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8124641466144 is an abundant number, since it is smaller than the sum of its proper divisors (16319525490912).

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

8124641466144 is a wasteful number, since it uses less digits than its factorization.

8124641466144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34842558 (or 34842550 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The spelling of 8124641466144 in words is "eight trillion, one hundred twenty-four billion, six hundred forty-one million, four hundred sixty-six thousand, one hundred forty-four".