66414348 has 288 divisors, whose sum is σ = 239715840. Its totient is φ = 14929920.

The previous prime is 66414347. The next prime is 66414373. The reversal of 66414348 is 84341466.

66414348 is a `hidden beast` number, since 6 + 641 + 4 + 3 + 4 + 8 = 666.

66414348 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

66414348 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66414347) 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, 684636 + ... + 684732.

Almost surely, 2^66414348 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 66414348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119857920).

66414348 is an abundant number, since it is smaller than the sum of its proper divisors (173301492).

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

66414348 is a wasteful number, since it uses less digits than its factorization.

66414348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 152 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 66414348 is about 8149.4998619547. The cubic root of 66414348 is about 404.9679352758.

It can be divided in two parts, 66 and 414348, that added together give a palindrome (414414).

The spelling of 66414348 in words is "sixty-six million, four hundred fourteen thousand, three hundred forty-eight".