214263441680 has 40 divisors (see below), whose sum is σ = 498194886552. Its totient is φ = 85699805184.

The previous prime is 214263441677. The next prime is 214263441683. The reversal of 214263441680 is 86144362412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214263441677) and next prime (214263441683).

It can be written as a sum of positive squares in 4 ways, for example, as 5717779456 + 208545662224 = 75616^2 + 456668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×214263441680² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214263441683) 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, 1285712 + ... + 1442768.

Almost surely, 2^214263441680 is an apocalyptic number.

214263441680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214263441680 is an abundant number, since it is smaller than the sum of its proper divisors (283931444872).

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

214263441680 is a wasteful number, since it uses less digits than its factorization.

214263441680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174123 (or 174117 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 214263441680 in words is "two hundred fourteen billion, two hundred sixty-three million, four hundred forty-one thousand, six hundred eighty".