66124523136 has 384 divisors, whose sum is σ = 211782159360. Its totient is φ = 18215608320.

The previous prime is 66124523119. The next prime is 66124523137. The reversal of 66124523136 is 63132542166.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 66124523094 and 66124523103.

It is not an unprimeable number, because it can be changed into a prime (66124523137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60831585 + ... + 60832671.

It is an arithmetic number, because the mean of its divisors is an integer number (551516040).

Almost surely, 2^66124523136 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 66124523136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105891079680).

66124523136 is an abundant number, since it is smaller than the sum of its proper divisors (145657636224).

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

66124523136 is a wasteful number, since it uses less digits than its factorization.

66124523136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1213 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The spelling of 66124523136 in words is "sixty-six billion, one hundred twenty-four million, five hundred twenty-three thousand, one hundred thirty-six".