16622237318400 has 2592 divisors, whose sum is σ = 72908901531648. Its totient is φ = 3667982745600.

The previous prime is 16622237318387. The next prime is 16622237318437. The reversal of 16622237318400 is 481373222661.

16622237318400 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 2 + 237 + 3 + 1 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74539180689 + ... + 74539180911.

Almost surely, 2^{16622237318400} is an apocalyptic number.

16622237318400 is a gapful number since it is divisible by the number (10) 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 16622237318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36454450765824).

16622237318400 is an abundant number, since it is smaller than the sum of its proper divisors (56286664213248).

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

16622237318400 is a wasteful number, since it uses less digits than its factorization.

16622237318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 16622237318400 in words is "sixteen trillion, six hundred twenty-two billion, two hundred thirty-seven million, three hundred eighteen thousand, four hundred".