22313485248768 has 792 divisors, whose sum is σ = 76687007911808. Its totient is φ = 6347497291776.

The previous prime is 22313485248763. The next prime is 22313485248773. The reversal of 22313485248768 is 86784258431322.

It is a happy number.

22313485248768 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 3 + 48 + 52 + 487 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (22313485248763) and next prime (22313485248773).

It is a super-3 number, since 3×22313485248768³ (a number of 41 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22313485248763) by changing a digit.

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 87 ways as a sum of consecutive naturals, for example, 45818244621 + ... + 45818245107.

Almost surely, 2^{22313485248768} is an apocalyptic number.

22313485248768 is a gapful number since it is divisible by the number (28) 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 22313485248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38343503955904).

22313485248768 is an abundant number, since it is smaller than the sum of its proper divisors (54373522663040).

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

22313485248768 is an frugal number, since it uses more digits than its factorization.

22313485248768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 932 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 22313485248768 in words is "twenty-two trillion, three hundred thirteen billion, four hundred eighty-five million, two hundred forty-eight thousand, seven hundred sixty-eight".