24130103425164 has 144 divisors (see below), whose sum is σ = 67196210425344. Its totient is φ = 7240126464000.

The previous prime is 24130103425123. The next prime is 24130103425177. The reversal of 24130103425164 is 46152430103142.

24130103425164 is a `hidden beast` number, since 2 + 4 + 1 + 30 + 103 + 4 + 2 + 516 + 4 = 666.

It is a super-2 number, since 2×24130103425164² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 314151564 + ... + 314228364.

It is an arithmetic number, because the mean of its divisors is an integer number (466640350176).

Almost surely, 2^{24130103425164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24130103425164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33598105212672).

24130103425164 is an abundant number, since it is smaller than the sum of its proper divisors (43066107000180).

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

24130103425164 is a wasteful number, since it uses less digits than its factorization.

24130103425164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84628 (or 84623 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 24130103425164 in words is "twenty-four trillion, one hundred thirty billion, one hundred three million, four hundred twenty-five thousand, one hundred sixty-four".