216102703400064 has 512 divisors, whose sum is σ = 704318367916800. Its totient is φ = 64806757171200.

The previous prime is 216102703400063. The next prime is 216102703400069. The reversal of 216102703400064 is 460004307201612.

216102703400064 is a `hidden beast` number, since 2 + 1 + 610 + 2 + 7 + 0 + 34 + 0 + 0 + 0 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216102703400063) 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 63 ways as a sum of consecutive naturals, for example, 1865936719 + ... + 1866052529.

Almost surely, 2^{216102703400064} is an apocalyptic number.

216102703400064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216102703400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352159183958400).

216102703400064 is an abundant number, since it is smaller than the sum of its proper divisors (488215664516736).

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

216102703400064 is a wasteful number, since it uses less digits than its factorization.

216102703400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116901 (or 116883 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 216102703400064 in words is "two hundred sixteen trillion, one hundred two billion, seven hundred three million, four hundred thousand, sixty-four".