22949941248000 has 2560 divisors, whose sum is σ = 97884395088480. Its totient is φ = 5299922534400.

The previous prime is 22949941247971. The next prime is 22949941248007. The reversal of 22949941248000 is 84214994922.

It is a happy number.

22949941248000 is a `hidden beast` number, since 2 + 29 + 49 + 94 + 12 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7599593373696 + 15350347874304 = 2756736^2 + 3917952^2 .

It is a tau number, because it is divible by the number of its divisors (2560).

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 (22949941248007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73322495844 + ... + 73322496156.

Almost surely, 2^{22949941248000} is an apocalyptic number.

22949941248000 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 22949941248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48942197544240).

22949941248000 is an abundant number, since it is smaller than the sum of its proper divisors (74934453840480).

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

22949941248000 is an equidigital number, since it uses as much as digits as its factorization.

22949941248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 22949941248000 in words is "twenty-two trillion, nine hundred forty-nine billion, nine hundred forty-one million, two hundred forty-eight thousand".