66438941184000 has 2496 divisors, whose sum is σ = 304324147865088. Its totient is φ = 13541179392000.

The previous prime is 66438941183959. The next prime is 66438941184001. The reversal of 66438941184000 is 48114983466.

66438941184000 is a `hidden beast` number, since 6 + 6 + 4 + 38 + 94 + 118 + 400 + 0 = 666.

It is a super-2 number, since 2×66438941184000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66438941184001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18805246234 + ... + 18805249766.

It is an arithmetic number, because the mean of its divisors is an integer number (121924738728).

Almost surely, 2^{66438941184000} is an apocalyptic number.

66438941184000 is a gapful number since it is divisible by the number (60) 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 66438941184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152162073932544).

66438941184000 is an abundant number, since it is smaller than the sum of its proper divisors (237885206681088).

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

66438941184000 is a wasteful number, since it uses less digits than its factorization.

66438941184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 66438941184000 in words is "sixty-six trillion, four hundred thirty-eight billion, nine hundred forty-one million, one hundred eighty-four thousand".