22148576464896 has 1040 divisors, whose sum is σ = 80357059791360. Its totient is φ = 5937808343040.

The previous prime is 22148576464891. The next prime is 22148576464901. The reversal of 22148576464896 is 69846467584122.

22148576464896 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 8 + 5 + 76 + 464 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (22148576464891) and next prime (22148576464901).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1114767360) is a multiple of the sum of its prime factors (4860).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22148576464891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4721501911 + ... + 4721506601.

Almost surely, 2^{22148576464896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22148576464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40178529895680).

22148576464896 is an abundant number, since it is smaller than the sum of its proper divisors (58208483326464).

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

22148576464896 is a wasteful number, since it uses less digits than its factorization.

22148576464896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 4829 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 22148576464896 in words is "twenty-two trillion, one hundred forty-eight billion, five hundred seventy-six million, four hundred sixty-four thousand, eight hundred ninety-six".