66114312 has 32 divisors (see below), whose sum is σ = 180312480. Its totient is φ = 20034560.

The previous prime is 66114311. The next prime is 66114313. The reversal of 66114312 is 21341166.

It is an interprime number because it is at equal distance from previous prime (66114311) and next prime (66114313).

It is a super-2 number, since 2×66114312² = 8742204502466688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66114311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124953 + ... + 125480.

It is an arithmetic number, because the mean of its divisors is an integer number (5634765).

Almost surely, 2^66114312 is an apocalyptic number.

It is an amenable number.

66114312 is an abundant number, since it is smaller than the sum of its proper divisors (114198168).

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

66114312 is a wasteful number, since it uses less digits than its factorization.

66114312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250453 (or 250449 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 66114312 is about 8131.0707781940. The cubic root of 66114312 is about 404.3571817488.

Adding to 66114312 its reverse (21341166), we get a palindrome (87455478).

The spelling of 66114312 in words is "sixty-six million, one hundred fourteen thousand, three hundred twelve".