216405783083168 has 96 divisors (see below), whose sum is σ = 488115108391680. Its totient is φ = 92516541880320.

The previous prime is 216405783083101. The next prime is 216405783083183. The reversal of 216405783083168 is 861380387504612.

216405783083168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 14710737²-1.

It is a super-2 number, since 2×216405783083168² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 216405783083168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234912098 + ... + 235831518.

It is an arithmetic number, because the mean of its divisors is an integer number (5084532379080).

Almost surely, 2^{216405783083168} is an apocalyptic number.

216405783083168 is a gapful number since it is divisible by the number (28) 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 216405783083168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244057554195840).

216405783083168 is an abundant number, since it is smaller than the sum of its proper divisors (271709325308512).

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

216405783083168 is a wasteful number, since it uses less digits than its factorization.

216405783083168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922030 (or 922022 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 62.

The spelling of 216405783083168 in words is "two hundred sixteen trillion, four hundred five billion, seven hundred eighty-three million, eighty-three thousand, one hundred sixty-eight".