22363648634880 has 1248 divisors, whose sum is σ = 91755975168000. Its totient is φ = 4930244444160.

The previous prime is 22363648634867. The next prime is 22363648634909. The reversal of 22363648634880 is 8843684636322.

It is a happy number.

22363648634880 is a `hidden beast` number, since 2 + 2 + 3 + 6 + 36 + 486 + 3 + 48 + 80 = 666.

It is a super-2 number, since 2×22363648634880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14919044371 + ... + 14919045869.

It is an arithmetic number, because the mean of its divisors is an integer number (73522416000).

Almost surely, 2^{22363648634880} is an apocalyptic number.

22363648634880 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 22363648634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45877987584000).

22363648634880 is an abundant number, since it is smaller than the sum of its proper divisors (69392326533120).

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

22363648634880 is a wasteful number, since it uses less digits than its factorization.

22363648634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 63.

The spelling of 22363648634880 in words is "twenty-two trillion, three hundred sixty-three billion, six hundred forty-eight million, six hundred thirty-four thousand, eight hundred eighty".