66438181524 has 288 divisors, whose sum is σ = 200614385664. Its totient is φ = 16836906240.

The previous prime is 66438181489. The next prime is 66438181529. The reversal of 66438181524 is 42518183466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66438181529) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14245617 + ... + 14250279.

It is an arithmetic number, because the mean of its divisors is an integer number (696577728).

Almost surely, 2^66438181524 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 66438181524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100307192832).

66438181524 is an abundant number, since it is smaller than the sum of its proper divisors (134176204140).

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

66438181524 is a wasteful number, since it uses less digits than its factorization.

66438181524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4734 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The spelling of 66438181524 in words is "sixty-six billion, four hundred thirty-eight million, one hundred eighty-one thousand, five hundred twenty-four".