22113853104960 has 672 divisors, whose sum is σ = 82405828657152. Its totient is φ = 5637993154560.

The previous prime is 22113853104949. The next prime is 22113853104971. The reversal of 22113853104960 is 6940135831122.

22113853104960 is a `hidden beast` number, since 2 + 2 + 1 + 13 + 8 + 531 + 0 + 49 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (22113853104949) and next prime (22113853104971).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200021217 + ... + 200131743.

It is an arithmetic number, because the mean of its divisors is an integer number (122627721216).

Almost surely, 2^{22113853104960} is an apocalyptic number.

22113853104960 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 22113853104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41202914328576).

22113853104960 is an abundant number, since it is smaller than the sum of its proper divisors (60291975552192).

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

22113853104960 is a wasteful number, since it uses less digits than its factorization.

22113853104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110673 (or 110651 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 22113853104960 in words is "twenty-two trillion, one hundred thirteen billion, eight hundred fifty-three million, one hundred four thousand, nine hundred sixty".