66948381 has 48 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 40525056.

The previous prime is 66948361. The next prime is 66948383. The reversal of 66948381 is 18384966.

It is not a de Polignac number, because 66948381 - 2⁶ = 66948317 is a prime.

It is a super-2 number, since 2×66948381² = 8964171437042322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66948383) 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 47 ways as a sum of consecutive naturals, for example, 752185 + ... + 752273.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^66948381 is an apocalyptic number.

It is an amenable number.

66948381 is a deficient number, since it is larger than the sum of its proper divisors (39194019).

66948381 is a wasteful number, since it uses less digits than its factorization.

66948381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 247 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 66948381 is about 8182.1990320451. The cubic root of 66948381 is about 406.0504782457.

The spelling of 66948381 in words is "sixty-six million, nine hundred forty-eight thousand, three hundred eighty-one".