66109462848 has 560 divisors, whose sum is σ = 231791402304. Its totient is φ = 18367119360.

The previous prime is 66109462841. The next prime is 66109462931. The reversal of 66109462848 is 84826490166.

66109462848 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 9 + 4 + 628 + 4 + 8 = 666.

It is a super-2 number, since 2×66109462848² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66109462794 and 66109462803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66109462841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 190517011 + ... + 190517357.

Almost surely, 2^66109462848 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 66109462848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115895701152).

66109462848 is an abundant number, since it is smaller than the sum of its proper divisors (165681939456).

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

66109462848 is a wasteful number, since it uses less digits than its factorization.

66109462848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 633 counting only the distinct ones).

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

The spelling of 66109462848 in words is "sixty-six billion, one hundred nine million, four hundred sixty-two thousand, eight hundred forty-eight".