22458098880 has 784 divisors, whose sum is σ = 97145490240. Its totient is φ = 4825350144.

The previous prime is 22458098879. The next prime is 22458098881. The reversal of 22458098880 is 8889085422.

It is a happy number.

22458098880 is a `hidden beast` number, since 22 + 458 + 0 + 98 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (22458098879) and next prime (22458098881).

It is a super-3 number, since 3×22458098880³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22458098881) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27759916 + ... + 27760724.

Almost surely, 2^22458098880 is an apocalyptic number.

22458098880 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 22458098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48572745120).

22458098880 is an abundant number, since it is smaller than the sum of its proper divisors (74687391360).

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

22458098880 is an equidigital number, since it uses as much as digits as its factorization.

22458098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 22458098880 in words is "twenty-two billion, four hundred fifty-eight million, ninety-eight thousand, eight hundred eighty".