216309366400 has 192 divisors, whose sum is σ = 549475601400. Its totient is φ = 84105216000.

The previous prime is 216309366379. The next prime is 216309366419. The reversal of 216309366400 is 4663903612.

It can be written as a sum of positive squares in 12 ways, for example, as 72292152384 + 144017214016 = 268872^2 + 379496^2 .

It is a super-3 number, since 3×216309366400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18480550 + ... + 18492250.

Almost surely, 2^216309366400 is an apocalyptic number.

216309366400 is a gapful number since it is divisible by the number (20) 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 216309366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274737800700).

216309366400 is an abundant number, since it is smaller than the sum of its proper divisors (333166235000).

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

216309366400 is a wasteful number, since it uses less digits than its factorization.

216309366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11887 (or 11870 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 216309366400 in words is "two hundred sixteen billion, three hundred nine million, three hundred sixty-six thousand, four hundred".