164422264400 has 30 divisors (see below), whose sum is σ = 395024491182. Its totient is φ = 65768905600.

The previous prime is 164422264399. The next prime is 164422264421. The reversal of 164422264400 is 4462224461.

It can be written as a sum of positive squares in 3 ways, for example, as 45560048704 + 118862215696 = 213448^2 + 344764^2 .

It is a super-3 number, since 3×164422264400³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205527431 + ... + 205528230.

Almost surely, 2^164422264400 is an apocalyptic number.

164422264400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164422264400 is an abundant number, since it is smaller than the sum of its proper divisors (230602226782).

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

164422264400 is a wasteful number, since it uses less digits than its factorization.

164422264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411055679 (or 411055668 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 164422264400 its reverse (4462224461), we get a palindrome (168884488861).

The spelling of 164422264400 in words is "one hundred sixty-four billion, four hundred twenty-two million, two hundred sixty-four thousand, four hundred".