216267172414000 has 40 divisors (see below), whose sum is σ = 522934022901888. Its totient is φ = 86506868964800.

The previous prime is 216267172413979. The next prime is 216267172414003. The reversal of 216267172414000 is 414271762612.

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

It is not an unprimeable number, because it can be changed into a prime (216267172414003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54066791104 + ... + 54066795103.

Almost surely, 2^{216267172414000} is an apocalyptic number.

216267172414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216267172414000 is an abundant number, since it is smaller than the sum of its proper divisors (306666850487888).

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

216267172414000 is a wasteful number, since it uses less digits than its factorization.

216267172414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108133586230 (or 108133586214 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 216267172414000 in words is "two hundred sixteen trillion, two hundred sixty-seven billion, one hundred seventy-two million, four hundred fourteen thousand".