22171667342400 has 189 divisors, whose sum is σ = 78805349054341. Its totient is φ = 5912293946880.

The previous prime is 22171667342381. The next prime is 22171667342431. The reversal of 22171667342400 is 424376617122.

The square root of 22171667342400 is 4708680.

It is a perfect power (a square), and thus also a powerful number.

22171667342400 is a `hidden beast` number, since 2 + 2 + 17 + 166 + 73 + 4 + 2 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7981800243264 + 14189867099136 = 2825208^2 + 3766944^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 565021981 + ... + 565061219.

Almost surely, 2^{22171667342400} is an apocalyptic number.

22171667342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22171667342400 is the 4708680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22171667342400

22171667342400 is an abundant number, since it is smaller than the sum of its proper divisors (56633681711941).

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

22171667342400 is an frugal number, since it uses more digits than its factorization.

22171667342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78506 (or 39249 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 22171667342400 in words is "twenty-two trillion, one hundred seventy-one billion, six hundred sixty-seven million, three hundred forty-two thousand, four hundred".