22730658048 has 360 divisors, whose sum is σ = 78055454400. Its totient is φ = 6444748800.

The previous prime is 22730658031. The next prime is 22730658053. The reversal of 22730658048 is 84085603722.

22730658048 is a `hidden beast` number, since 2 + 27 + 3 + 0 + 6 + 580 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22730657994 and 22730658012.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 21627123 + ... + 21628173.

Almost surely, 2^22730658048 is an apocalyptic number.

22730658048 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 22730658048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39027727200).

22730658048 is an abundant number, since it is smaller than the sum of its proper divisors (55324796352).

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

22730658048 is a wasteful number, since it uses less digits than its factorization.

22730658048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 22730658048 in words is "twenty-two billion, seven hundred thirty million, six hundred fifty-eight thousand, forty-eight".