20414379966 has 32 divisors (see below), whose sum is σ = 42169061376. Its totient is φ = 6581652000.

The previous prime is 20414379961. The next prime is 20414379971. The reversal of 20414379966 is 66997341402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20414379961) and next prime (20414379971).

It is a super-2 number, since 2×20414379966² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414379961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318676 + ... + 377336.

It is an arithmetic number, because the mean of its divisors is an integer number (1317783168).

Almost surely, 2^20414379966 is an apocalyptic number.

20414379966 is an abundant number, since it is smaller than the sum of its proper divisors (21754681410).

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

20414379966 is a wasteful number, since it uses less digits than its factorization.

20414379966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60568.

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 20414379966 in words is "twenty billion, four hundred fourteen million, three hundred seventy-nine thousand, nine hundred sixty-six".