22848376320 has 1280 divisors, whose sum is σ = 104367605760. Its totient is φ = 4658135040.

The previous prime is 22848376319. The next prime is 22848376321. The reversal of 22848376320 is 2367384822.

22848376320 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 8 + 3 + 7 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22848376319) and next prime (22848376321).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22848376321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 431101414 + ... + 431101466.

It is an arithmetic number, because the mean of its divisors is an integer number (81537192).

Almost surely, 2^22848376320 is an apocalyptic number.

22848376320 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 22848376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52183802880).

22848376320 is an abundant number, since it is smaller than the sum of its proper divisors (81519229440).

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

22848376320 is an frugal number, since it uses more digits than its factorization.

22848376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 22848376320 in words is "twenty-two billion, eight hundred forty-eight million, three hundred seventy-six thousand, three hundred twenty".