22315622400000 has 612 divisors, whose sum is σ = 80585075365704. Its totient is φ = 5950341120000.

The previous prime is 22315622399999. The next prime is 22315622400073. The reversal of 22315622400000 is 422651322.

It is a happy number.

22315622400000 is a `hidden beast` number, since 2 + 2 + 31 + 5 + 622 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×22315622400000³ (a number of 41 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 35 ways as a sum of consecutive naturals, for example, 1843193947 + ... + 1843206053.

Almost surely, 2^{22315622400000} is an apocalyptic number.

22315622400000 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 22315622400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40292537682852).

22315622400000 is an abundant number, since it is smaller than the sum of its proper divisors (58269452965704).

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

22315622400000 is an frugal number, since it uses more digits than its factorization.

22315622400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12170 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 22315622400000 in words is "twenty-two trillion, three hundred fifteen billion, six hundred twenty-two million, four hundred thousand".