22949781120 has 1152 divisors, whose sum is σ = 98970094080. Its totient is φ = 4877107200.

The previous prime is 22949781073. The next prime is 22949781131. The reversal of 22949781120 is 2118794922.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 376225890 + ... + 376225950.

It is an arithmetic number, because the mean of its divisors is an integer number (85911540).

Almost surely, 2^22949781120 is an apocalyptic number.

22949781120 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 22949781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49485047040).

22949781120 is an abundant number, since it is smaller than the sum of its proper divisors (76020312960).

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

22949781120 is a wasteful number, since it uses less digits than its factorization.

22949781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 22949781120 in words is "twenty-two billion, nine hundred forty-nine million, seven hundred eighty-one thousand, one hundred twenty".