216642668036000 has 96 divisors (see below), whose sum is σ = 533096323315920. Its totient is φ = 86525966208000.

The previous prime is 216642668035987. The next prime is 216642668036009. The reversal of 216642668036000 is 630866246612.

It can be written as a sum of positive squares in 8 ways, for example, as 91844545605136 + 124798122430864 = 9583556^2 + 11171308^2 .

It is a super-2 number, since 2×216642668036000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 216642668036000.

It is not an unprimeable number, because it can be changed into a prime (216642668036009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38324735 + ... + 43612734.

Almost surely, 2^{216642668036000} is an apocalyptic number.

216642668036000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216642668036000 is an abundant number, since it is smaller than the sum of its proper divisors (316453655279920).

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

216642668036000 is an equidigital number, since it uses as much as digits as its factorization.

216642668036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81938155 (or 81938137 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 50.

The spelling of 216642668036000 in words is "two hundred sixteen trillion, six hundred forty-two billion, six hundred sixty-eight million, thirty-six thousand".